An Implicit Finite Difference Analysis of Von Karman Flow of Second Grade Nanofluid with Temperature Dependent Viscosity
Abstract This numerical study elaborate the Von Karman swirling flow of second grade fluid having temperature dependent viscosity. The governing non-linear partial differential equations converted into non-dimensional ordinary differential equations using suitable transformations. The system of resu...
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| Autor*in: |
Abbasi, A. [verfasserIn] Batool, M. [verfasserIn] Farooq, W. [verfasserIn] Hussain, Z. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer Nature India Private Limited 2021 |
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| Übergeordnetes Werk: |
Enthalten in: International journal of applied and computational mathematics - [New Dehli] : Springer India, 2015, 7(2021), 5 vom: 20. Aug. |
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| Übergeordnetes Werk: |
volume:7 ; year:2021 ; number:5 ; day:20 ; month:08 |
| Links: |
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| DOI / URN: |
10.1007/s40819-021-01118-y |
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| Katalog-ID: |
SPR044890281 |
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| 520 | |a Abstract This numerical study elaborate the Von Karman swirling flow of second grade fluid having temperature dependent viscosity. The governing non-linear partial differential equations converted into non-dimensional ordinary differential equations using suitable transformations. The system of resulting ordinary differential equations are solved using the well-known implicit finite difference scheme. Then the results are presented graphically and the impact of various involved parameters on velocity, temperature, and concentration profiles. Redial and transversal shear stress on the surface of the disk, local Nusselt and Sherwood numbers are presented through tables. It is found that Variable viscosity parameter %${\theta }_{\delta }%$, Thermorpheratic parameter, Brownian motion and the suction parameter oppose the motion while the Non-Newtonian fluid parameter and the Prandtl number assist the fluid motion. Variable viscosity parameter enhance both temperature and concentration fields but reduces the magnitude of radial and transversal shear stresses. The results are compared with the existing results and found to be an excellent agreement. | ||
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| 650 | 4 | |a Von Karman flow |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Nanofluids |7 (dpeaa)DE-He213 | |
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| 700 | 1 | |a Farooq, W. |e verfasserin |4 aut | |
| 700 | 1 | |a Hussain, Z. |e verfasserin |4 aut | |
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10.1007/s40819-021-01118-y doi (DE-627)SPR044890281 (SPR)s40819-021-01118-y-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE Abbasi, A. verfasserin aut An Implicit Finite Difference Analysis of Von Karman Flow of Second Grade Nanofluid with Temperature Dependent Viscosity 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature India Private Limited 2021 Abstract This numerical study elaborate the Von Karman swirling flow of second grade fluid having temperature dependent viscosity. The governing non-linear partial differential equations converted into non-dimensional ordinary differential equations using suitable transformations. The system of resulting ordinary differential equations are solved using the well-known implicit finite difference scheme. Then the results are presented graphically and the impact of various involved parameters on velocity, temperature, and concentration profiles. Redial and transversal shear stress on the surface of the disk, local Nusselt and Sherwood numbers are presented through tables. It is found that Variable viscosity parameter %${\theta }_{\delta }%$, Thermorpheratic parameter, Brownian motion and the suction parameter oppose the motion while the Non-Newtonian fluid parameter and the Prandtl number assist the fluid motion. Variable viscosity parameter enhance both temperature and concentration fields but reduces the magnitude of radial and transversal shear stresses. The results are compared with the existing results and found to be an excellent agreement. Second grade fluid (dpeaa)DE-He213 Von Karman flow (dpeaa)DE-He213 Nanofluids (dpeaa)DE-He213 Variable viscosity (dpeaa)DE-He213 Keller box method (dpeaa)DE-He213 Batool, M. verfasserin aut Farooq, W. verfasserin aut Hussain, Z. verfasserin aut Enthalten in International journal of applied and computational mathematics [New Dehli] : Springer India, 2015 7(2021), 5 vom: 20. Aug. (DE-627)815914253 (DE-600)2806624-8 2199-5796 nnns volume:7 year:2021 number:5 day:20 month:08 https://dx.doi.org/10.1007/s40819-021-01118-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 7 2021 5 20 08 |
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10.1007/s40819-021-01118-y doi (DE-627)SPR044890281 (SPR)s40819-021-01118-y-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE Abbasi, A. verfasserin aut An Implicit Finite Difference Analysis of Von Karman Flow of Second Grade Nanofluid with Temperature Dependent Viscosity 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature India Private Limited 2021 Abstract This numerical study elaborate the Von Karman swirling flow of second grade fluid having temperature dependent viscosity. The governing non-linear partial differential equations converted into non-dimensional ordinary differential equations using suitable transformations. The system of resulting ordinary differential equations are solved using the well-known implicit finite difference scheme. Then the results are presented graphically and the impact of various involved parameters on velocity, temperature, and concentration profiles. Redial and transversal shear stress on the surface of the disk, local Nusselt and Sherwood numbers are presented through tables. It is found that Variable viscosity parameter %${\theta }_{\delta }%$, Thermorpheratic parameter, Brownian motion and the suction parameter oppose the motion while the Non-Newtonian fluid parameter and the Prandtl number assist the fluid motion. Variable viscosity parameter enhance both temperature and concentration fields but reduces the magnitude of radial and transversal shear stresses. The results are compared with the existing results and found to be an excellent agreement. Second grade fluid (dpeaa)DE-He213 Von Karman flow (dpeaa)DE-He213 Nanofluids (dpeaa)DE-He213 Variable viscosity (dpeaa)DE-He213 Keller box method (dpeaa)DE-He213 Batool, M. verfasserin aut Farooq, W. verfasserin aut Hussain, Z. verfasserin aut Enthalten in International journal of applied and computational mathematics [New Dehli] : Springer India, 2015 7(2021), 5 vom: 20. Aug. (DE-627)815914253 (DE-600)2806624-8 2199-5796 nnns volume:7 year:2021 number:5 day:20 month:08 https://dx.doi.org/10.1007/s40819-021-01118-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 7 2021 5 20 08 |
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10.1007/s40819-021-01118-y doi (DE-627)SPR044890281 (SPR)s40819-021-01118-y-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE Abbasi, A. verfasserin aut An Implicit Finite Difference Analysis of Von Karman Flow of Second Grade Nanofluid with Temperature Dependent Viscosity 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature India Private Limited 2021 Abstract This numerical study elaborate the Von Karman swirling flow of second grade fluid having temperature dependent viscosity. The governing non-linear partial differential equations converted into non-dimensional ordinary differential equations using suitable transformations. The system of resulting ordinary differential equations are solved using the well-known implicit finite difference scheme. Then the results are presented graphically and the impact of various involved parameters on velocity, temperature, and concentration profiles. Redial and transversal shear stress on the surface of the disk, local Nusselt and Sherwood numbers are presented through tables. It is found that Variable viscosity parameter %${\theta }_{\delta }%$, Thermorpheratic parameter, Brownian motion and the suction parameter oppose the motion while the Non-Newtonian fluid parameter and the Prandtl number assist the fluid motion. Variable viscosity parameter enhance both temperature and concentration fields but reduces the magnitude of radial and transversal shear stresses. The results are compared with the existing results and found to be an excellent agreement. Second grade fluid (dpeaa)DE-He213 Von Karman flow (dpeaa)DE-He213 Nanofluids (dpeaa)DE-He213 Variable viscosity (dpeaa)DE-He213 Keller box method (dpeaa)DE-He213 Batool, M. verfasserin aut Farooq, W. verfasserin aut Hussain, Z. verfasserin aut Enthalten in International journal of applied and computational mathematics [New Dehli] : Springer India, 2015 7(2021), 5 vom: 20. Aug. (DE-627)815914253 (DE-600)2806624-8 2199-5796 nnns volume:7 year:2021 number:5 day:20 month:08 https://dx.doi.org/10.1007/s40819-021-01118-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 7 2021 5 20 08 |
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10.1007/s40819-021-01118-y doi (DE-627)SPR044890281 (SPR)s40819-021-01118-y-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE Abbasi, A. verfasserin aut An Implicit Finite Difference Analysis of Von Karman Flow of Second Grade Nanofluid with Temperature Dependent Viscosity 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature India Private Limited 2021 Abstract This numerical study elaborate the Von Karman swirling flow of second grade fluid having temperature dependent viscosity. The governing non-linear partial differential equations converted into non-dimensional ordinary differential equations using suitable transformations. The system of resulting ordinary differential equations are solved using the well-known implicit finite difference scheme. Then the results are presented graphically and the impact of various involved parameters on velocity, temperature, and concentration profiles. Redial and transversal shear stress on the surface of the disk, local Nusselt and Sherwood numbers are presented through tables. It is found that Variable viscosity parameter %${\theta }_{\delta }%$, Thermorpheratic parameter, Brownian motion and the suction parameter oppose the motion while the Non-Newtonian fluid parameter and the Prandtl number assist the fluid motion. Variable viscosity parameter enhance both temperature and concentration fields but reduces the magnitude of radial and transversal shear stresses. The results are compared with the existing results and found to be an excellent agreement. Second grade fluid (dpeaa)DE-He213 Von Karman flow (dpeaa)DE-He213 Nanofluids (dpeaa)DE-He213 Variable viscosity (dpeaa)DE-He213 Keller box method (dpeaa)DE-He213 Batool, M. verfasserin aut Farooq, W. verfasserin aut Hussain, Z. verfasserin aut Enthalten in International journal of applied and computational mathematics [New Dehli] : Springer India, 2015 7(2021), 5 vom: 20. Aug. (DE-627)815914253 (DE-600)2806624-8 2199-5796 nnns volume:7 year:2021 number:5 day:20 month:08 https://dx.doi.org/10.1007/s40819-021-01118-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 7 2021 5 20 08 |
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10.1007/s40819-021-01118-y doi (DE-627)SPR044890281 (SPR)s40819-021-01118-y-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE Abbasi, A. verfasserin aut An Implicit Finite Difference Analysis of Von Karman Flow of Second Grade Nanofluid with Temperature Dependent Viscosity 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature India Private Limited 2021 Abstract This numerical study elaborate the Von Karman swirling flow of second grade fluid having temperature dependent viscosity. The governing non-linear partial differential equations converted into non-dimensional ordinary differential equations using suitable transformations. The system of resulting ordinary differential equations are solved using the well-known implicit finite difference scheme. Then the results are presented graphically and the impact of various involved parameters on velocity, temperature, and concentration profiles. Redial and transversal shear stress on the surface of the disk, local Nusselt and Sherwood numbers are presented through tables. It is found that Variable viscosity parameter %${\theta }_{\delta }%$, Thermorpheratic parameter, Brownian motion and the suction parameter oppose the motion while the Non-Newtonian fluid parameter and the Prandtl number assist the fluid motion. Variable viscosity parameter enhance both temperature and concentration fields but reduces the magnitude of radial and transversal shear stresses. The results are compared with the existing results and found to be an excellent agreement. Second grade fluid (dpeaa)DE-He213 Von Karman flow (dpeaa)DE-He213 Nanofluids (dpeaa)DE-He213 Variable viscosity (dpeaa)DE-He213 Keller box method (dpeaa)DE-He213 Batool, M. verfasserin aut Farooq, W. verfasserin aut Hussain, Z. verfasserin aut Enthalten in International journal of applied and computational mathematics [New Dehli] : Springer India, 2015 7(2021), 5 vom: 20. Aug. (DE-627)815914253 (DE-600)2806624-8 2199-5796 nnns volume:7 year:2021 number:5 day:20 month:08 https://dx.doi.org/10.1007/s40819-021-01118-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 7 2021 5 20 08 |
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Abbasi, A. |
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Abbasi, A. ddc 510 misc Second grade fluid misc Von Karman flow misc Nanofluids misc Variable viscosity misc Keller box method An Implicit Finite Difference Analysis of Von Karman Flow of Second Grade Nanofluid with Temperature Dependent Viscosity |
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510 ASE An Implicit Finite Difference Analysis of Von Karman Flow of Second Grade Nanofluid with Temperature Dependent Viscosity Second grade fluid (dpeaa)DE-He213 Von Karman flow (dpeaa)DE-He213 Nanofluids (dpeaa)DE-He213 Variable viscosity (dpeaa)DE-He213 Keller box method (dpeaa)DE-He213 |
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An Implicit Finite Difference Analysis of Von Karman Flow of Second Grade Nanofluid with Temperature Dependent Viscosity |
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International journal of applied and computational mathematics |
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implicit finite difference analysis of von karman flow of second grade nanofluid with temperature dependent viscosity |
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An Implicit Finite Difference Analysis of Von Karman Flow of Second Grade Nanofluid with Temperature Dependent Viscosity |
| abstract |
Abstract This numerical study elaborate the Von Karman swirling flow of second grade fluid having temperature dependent viscosity. The governing non-linear partial differential equations converted into non-dimensional ordinary differential equations using suitable transformations. The system of resulting ordinary differential equations are solved using the well-known implicit finite difference scheme. Then the results are presented graphically and the impact of various involved parameters on velocity, temperature, and concentration profiles. Redial and transversal shear stress on the surface of the disk, local Nusselt and Sherwood numbers are presented through tables. It is found that Variable viscosity parameter %${\theta }_{\delta }%$, Thermorpheratic parameter, Brownian motion and the suction parameter oppose the motion while the Non-Newtonian fluid parameter and the Prandtl number assist the fluid motion. Variable viscosity parameter enhance both temperature and concentration fields but reduces the magnitude of radial and transversal shear stresses. The results are compared with the existing results and found to be an excellent agreement. © The Author(s), under exclusive licence to Springer Nature India Private Limited 2021 |
| abstractGer |
Abstract This numerical study elaborate the Von Karman swirling flow of second grade fluid having temperature dependent viscosity. The governing non-linear partial differential equations converted into non-dimensional ordinary differential equations using suitable transformations. The system of resulting ordinary differential equations are solved using the well-known implicit finite difference scheme. Then the results are presented graphically and the impact of various involved parameters on velocity, temperature, and concentration profiles. Redial and transversal shear stress on the surface of the disk, local Nusselt and Sherwood numbers are presented through tables. It is found that Variable viscosity parameter %${\theta }_{\delta }%$, Thermorpheratic parameter, Brownian motion and the suction parameter oppose the motion while the Non-Newtonian fluid parameter and the Prandtl number assist the fluid motion. Variable viscosity parameter enhance both temperature and concentration fields but reduces the magnitude of radial and transversal shear stresses. The results are compared with the existing results and found to be an excellent agreement. © The Author(s), under exclusive licence to Springer Nature India Private Limited 2021 |
| abstract_unstemmed |
Abstract This numerical study elaborate the Von Karman swirling flow of second grade fluid having temperature dependent viscosity. The governing non-linear partial differential equations converted into non-dimensional ordinary differential equations using suitable transformations. The system of resulting ordinary differential equations are solved using the well-known implicit finite difference scheme. Then the results are presented graphically and the impact of various involved parameters on velocity, temperature, and concentration profiles. Redial and transversal shear stress on the surface of the disk, local Nusselt and Sherwood numbers are presented through tables. It is found that Variable viscosity parameter %${\theta }_{\delta }%$, Thermorpheratic parameter, Brownian motion and the suction parameter oppose the motion while the Non-Newtonian fluid parameter and the Prandtl number assist the fluid motion. Variable viscosity parameter enhance both temperature and concentration fields but reduces the magnitude of radial and transversal shear stresses. The results are compared with the existing results and found to be an excellent agreement. © The Author(s), under exclusive licence to Springer Nature India Private Limited 2021 |
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An Implicit Finite Difference Analysis of Von Karman Flow of Second Grade Nanofluid with Temperature Dependent Viscosity |
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https://dx.doi.org/10.1007/s40819-021-01118-y |
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Batool, M. Farooq, W. Hussain, Z. |
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Batool, M. Farooq, W. Hussain, Z. |
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| doi_str |
10.1007/s40819-021-01118-y |
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2024-07-04T02:42:21.692Z |
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| score |
7.4022713 |