Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions

The Prabhakar fractional derivative model is not studied in the open literature for the Casson fluid model when the vertical plate exhibits linear and quadratic translations with constant heating. Therefore, this study deals with the thermal transport of sodium alginate (C6H9NaO7) over a vertical pl...
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Autor*in:	Ilyas Khan [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Prabhakar fractional derivative ramped heating sodium alginate (C6H9NaO7) accelerated flows Laplace transformation

Übergeordnetes Werk:	In: Frontiers in Energy Research - Frontiers Media S.A., 2014, 10(2022)
Übergeordnetes Werk:	volume:10 ; year:2022

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3389/fenrg.2022.1013829

Katalog-ID:	DOAJ028883969

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allfields	10.3389/fenrg.2022.1013829 doi (DE-627)DOAJ028883969 (DE-599)DOAJ377b0e917339437f870cb16b2d75ab43 DE-627 ger DE-627 rakwb eng Ilyas Khan verfasserin aut Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The Prabhakar fractional derivative model is not studied in the open literature for the Casson fluid model when the vertical plate exhibits linear and quadratic translations with constant heating. Therefore, this study deals with the thermal transport of sodium alginate (C6H9NaO7) over a vertical plate with a constant temperature. Since the classical PDEs are incapable of analyzing and investigating the physical impact of flow variables with memory effects, a fractional derivative model is developed using the Prabhakar fractional derivative approach. Two different types of plate translations (linear and quadratic) are considered. The non-dimensional governing equations are transformed into a fractional model and solved using the Laplace transformation (L.T) technique. The effects and behavior of significant physical parameters and fractional order parameters are studied graphically and discussed. As a consequence, it is found that as fractional limitations are increased, the thermal and momentum profiles drop. In addition, the momentum profile in the case of quadratic translation (variable acceleration) shows a higher magnitude than the case of linear translation (constantly accelerated plate). Prabhakar fractional derivative ramped heating sodium alginate (C6H9NaO7) accelerated flows Laplace transformation General Works A In Frontiers in Energy Research Frontiers Media S.A., 2014 10(2022) (DE-627)768576768 (DE-600)2733788-1 2296598X nnns volume:10 year:2022 https://doi.org/10.3389/fenrg.2022.1013829 kostenfrei https://doaj.org/article/377b0e917339437f870cb16b2d75ab43 kostenfrei https://www.frontiersin.org/articles/10.3389/fenrg.2022.1013829/full kostenfrei https://doaj.org/toc/2296-598X Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2003 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 10 2022
spelling	10.3389/fenrg.2022.1013829 doi (DE-627)DOAJ028883969 (DE-599)DOAJ377b0e917339437f870cb16b2d75ab43 DE-627 ger DE-627 rakwb eng Ilyas Khan verfasserin aut Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The Prabhakar fractional derivative model is not studied in the open literature for the Casson fluid model when the vertical plate exhibits linear and quadratic translations with constant heating. Therefore, this study deals with the thermal transport of sodium alginate (C6H9NaO7) over a vertical plate with a constant temperature. Since the classical PDEs are incapable of analyzing and investigating the physical impact of flow variables with memory effects, a fractional derivative model is developed using the Prabhakar fractional derivative approach. Two different types of plate translations (linear and quadratic) are considered. The non-dimensional governing equations are transformed into a fractional model and solved using the Laplace transformation (L.T) technique. The effects and behavior of significant physical parameters and fractional order parameters are studied graphically and discussed. As a consequence, it is found that as fractional limitations are increased, the thermal and momentum profiles drop. In addition, the momentum profile in the case of quadratic translation (variable acceleration) shows a higher magnitude than the case of linear translation (constantly accelerated plate). Prabhakar fractional derivative ramped heating sodium alginate (C6H9NaO7) accelerated flows Laplace transformation General Works A In Frontiers in Energy Research Frontiers Media S.A., 2014 10(2022) (DE-627)768576768 (DE-600)2733788-1 2296598X nnns volume:10 year:2022 https://doi.org/10.3389/fenrg.2022.1013829 kostenfrei https://doaj.org/article/377b0e917339437f870cb16b2d75ab43 kostenfrei https://www.frontiersin.org/articles/10.3389/fenrg.2022.1013829/full kostenfrei https://doaj.org/toc/2296-598X Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2003 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 10 2022
allfields_unstemmed	10.3389/fenrg.2022.1013829 doi (DE-627)DOAJ028883969 (DE-599)DOAJ377b0e917339437f870cb16b2d75ab43 DE-627 ger DE-627 rakwb eng Ilyas Khan verfasserin aut Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The Prabhakar fractional derivative model is not studied in the open literature for the Casson fluid model when the vertical plate exhibits linear and quadratic translations with constant heating. Therefore, this study deals with the thermal transport of sodium alginate (C6H9NaO7) over a vertical plate with a constant temperature. Since the classical PDEs are incapable of analyzing and investigating the physical impact of flow variables with memory effects, a fractional derivative model is developed using the Prabhakar fractional derivative approach. Two different types of plate translations (linear and quadratic) are considered. The non-dimensional governing equations are transformed into a fractional model and solved using the Laplace transformation (L.T) technique. The effects and behavior of significant physical parameters and fractional order parameters are studied graphically and discussed. As a consequence, it is found that as fractional limitations are increased, the thermal and momentum profiles drop. In addition, the momentum profile in the case of quadratic translation (variable acceleration) shows a higher magnitude than the case of linear translation (constantly accelerated plate). Prabhakar fractional derivative ramped heating sodium alginate (C6H9NaO7) accelerated flows Laplace transformation General Works A In Frontiers in Energy Research Frontiers Media S.A., 2014 10(2022) (DE-627)768576768 (DE-600)2733788-1 2296598X nnns volume:10 year:2022 https://doi.org/10.3389/fenrg.2022.1013829 kostenfrei https://doaj.org/article/377b0e917339437f870cb16b2d75ab43 kostenfrei https://www.frontiersin.org/articles/10.3389/fenrg.2022.1013829/full kostenfrei https://doaj.org/toc/2296-598X Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2003 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 10 2022
allfieldsGer	10.3389/fenrg.2022.1013829 doi (DE-627)DOAJ028883969 (DE-599)DOAJ377b0e917339437f870cb16b2d75ab43 DE-627 ger DE-627 rakwb eng Ilyas Khan verfasserin aut Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The Prabhakar fractional derivative model is not studied in the open literature for the Casson fluid model when the vertical plate exhibits linear and quadratic translations with constant heating. Therefore, this study deals with the thermal transport of sodium alginate (C6H9NaO7) over a vertical plate with a constant temperature. Since the classical PDEs are incapable of analyzing and investigating the physical impact of flow variables with memory effects, a fractional derivative model is developed using the Prabhakar fractional derivative approach. Two different types of plate translations (linear and quadratic) are considered. The non-dimensional governing equations are transformed into a fractional model and solved using the Laplace transformation (L.T) technique. The effects and behavior of significant physical parameters and fractional order parameters are studied graphically and discussed. As a consequence, it is found that as fractional limitations are increased, the thermal and momentum profiles drop. In addition, the momentum profile in the case of quadratic translation (variable acceleration) shows a higher magnitude than the case of linear translation (constantly accelerated plate). Prabhakar fractional derivative ramped heating sodium alginate (C6H9NaO7) accelerated flows Laplace transformation General Works A In Frontiers in Energy Research Frontiers Media S.A., 2014 10(2022) (DE-627)768576768 (DE-600)2733788-1 2296598X nnns volume:10 year:2022 https://doi.org/10.3389/fenrg.2022.1013829 kostenfrei https://doaj.org/article/377b0e917339437f870cb16b2d75ab43 kostenfrei https://www.frontiersin.org/articles/10.3389/fenrg.2022.1013829/full kostenfrei https://doaj.org/toc/2296-598X Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2003 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 10 2022
allfieldsSound	10.3389/fenrg.2022.1013829 doi (DE-627)DOAJ028883969 (DE-599)DOAJ377b0e917339437f870cb16b2d75ab43 DE-627 ger DE-627 rakwb eng Ilyas Khan verfasserin aut Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The Prabhakar fractional derivative model is not studied in the open literature for the Casson fluid model when the vertical plate exhibits linear and quadratic translations with constant heating. Therefore, this study deals with the thermal transport of sodium alginate (C6H9NaO7) over a vertical plate with a constant temperature. Since the classical PDEs are incapable of analyzing and investigating the physical impact of flow variables with memory effects, a fractional derivative model is developed using the Prabhakar fractional derivative approach. Two different types of plate translations (linear and quadratic) are considered. The non-dimensional governing equations are transformed into a fractional model and solved using the Laplace transformation (L.T) technique. The effects and behavior of significant physical parameters and fractional order parameters are studied graphically and discussed. As a consequence, it is found that as fractional limitations are increased, the thermal and momentum profiles drop. In addition, the momentum profile in the case of quadratic translation (variable acceleration) shows a higher magnitude than the case of linear translation (constantly accelerated plate). Prabhakar fractional derivative ramped heating sodium alginate (C6H9NaO7) accelerated flows Laplace transformation General Works A In Frontiers in Energy Research Frontiers Media S.A., 2014 10(2022) (DE-627)768576768 (DE-600)2733788-1 2296598X nnns volume:10 year:2022 https://doi.org/10.3389/fenrg.2022.1013829 kostenfrei https://doaj.org/article/377b0e917339437f870cb16b2d75ab43 kostenfrei https://www.frontiersin.org/articles/10.3389/fenrg.2022.1013829/full kostenfrei https://doaj.org/toc/2296-598X Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2003 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 10 2022
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author	Ilyas Khan
spellingShingle	Ilyas Khan misc Prabhakar fractional derivative misc ramped heating misc sodium alginate (C6H9NaO7) misc accelerated flows misc Laplace transformation misc General Works misc A Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions
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topic_title	Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions Prabhakar fractional derivative ramped heating sodium alginate (C6H9NaO7) accelerated flows Laplace transformation
topic	misc Prabhakar fractional derivative misc ramped heating misc sodium alginate (C6H9NaO7) misc accelerated flows misc Laplace transformation misc General Works misc A
topic_unstemmed	misc Prabhakar fractional derivative misc ramped heating misc sodium alginate (C6H9NaO7) misc accelerated flows misc Laplace transformation misc General Works misc A
topic_browse	misc Prabhakar fractional derivative misc ramped heating misc sodium alginate (C6H9NaO7) misc accelerated flows misc Laplace transformation misc General Works misc A
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title	Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions
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title_full	Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions
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title_sort	prabhakar fractional derivative model of sodium alginate (c6h9nao7) for accelerated plate motions
title_auth	Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions
abstract	The Prabhakar fractional derivative model is not studied in the open literature for the Casson fluid model when the vertical plate exhibits linear and quadratic translations with constant heating. Therefore, this study deals with the thermal transport of sodium alginate (C6H9NaO7) over a vertical plate with a constant temperature. Since the classical PDEs are incapable of analyzing and investigating the physical impact of flow variables with memory effects, a fractional derivative model is developed using the Prabhakar fractional derivative approach. Two different types of plate translations (linear and quadratic) are considered. The non-dimensional governing equations are transformed into a fractional model and solved using the Laplace transformation (L.T) technique. The effects and behavior of significant physical parameters and fractional order parameters are studied graphically and discussed. As a consequence, it is found that as fractional limitations are increased, the thermal and momentum profiles drop. In addition, the momentum profile in the case of quadratic translation (variable acceleration) shows a higher magnitude than the case of linear translation (constantly accelerated plate).
abstractGer	The Prabhakar fractional derivative model is not studied in the open literature for the Casson fluid model when the vertical plate exhibits linear and quadratic translations with constant heating. Therefore, this study deals with the thermal transport of sodium alginate (C6H9NaO7) over a vertical plate with a constant temperature. Since the classical PDEs are incapable of analyzing and investigating the physical impact of flow variables with memory effects, a fractional derivative model is developed using the Prabhakar fractional derivative approach. Two different types of plate translations (linear and quadratic) are considered. The non-dimensional governing equations are transformed into a fractional model and solved using the Laplace transformation (L.T) technique. The effects and behavior of significant physical parameters and fractional order parameters are studied graphically and discussed. As a consequence, it is found that as fractional limitations are increased, the thermal and momentum profiles drop. In addition, the momentum profile in the case of quadratic translation (variable acceleration) shows a higher magnitude than the case of linear translation (constantly accelerated plate).
abstract_unstemmed	The Prabhakar fractional derivative model is not studied in the open literature for the Casson fluid model when the vertical plate exhibits linear and quadratic translations with constant heating. Therefore, this study deals with the thermal transport of sodium alginate (C6H9NaO7) over a vertical plate with a constant temperature. Since the classical PDEs are incapable of analyzing and investigating the physical impact of flow variables with memory effects, a fractional derivative model is developed using the Prabhakar fractional derivative approach. Two different types of plate translations (linear and quadratic) are considered. The non-dimensional governing equations are transformed into a fractional model and solved using the Laplace transformation (L.T) technique. The effects and behavior of significant physical parameters and fractional order parameters are studied graphically and discussed. As a consequence, it is found that as fractional limitations are increased, the thermal and momentum profiles drop. In addition, the momentum profile in the case of quadratic translation (variable acceleration) shows a higher magnitude than the case of linear translation (constantly accelerated plate).
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title_short	Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions
url	https://doi.org/10.3389/fenrg.2022.1013829 https://doaj.org/article/377b0e917339437f870cb16b2d75ab43 https://www.frontiersin.org/articles/10.3389/fenrg.2022.1013829/full https://doaj.org/toc/2296-598X
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Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions

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