$A fractional study of generalized Oldroyd-B fluid with ramped conditions via local & non-local kernels$
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A fractional study of generalized Oldroyd-B fluid with ramped conditions via local & non-local kernels

Convective flow is a self-sustained flow with the effect of the temperature gradient. The density is nonuniform due to the variation of temperature. The effect of the magnetic flux plays a major role in convective flow. The process of heat transfer is accompanied by mass transfer process; for instan...

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Autores principales:	Saeed Syed Tauseef, Riaz Muhammad Bilal, Baleanu Dumitru
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	oldroyd-b fluid ramped velocity porous medium laplace transformation Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/a1cc1283e8ac418db9f0c7b8f213896b
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id	oai:doaj.org-article:a1cc1283e8ac418db9f0c7b8f213896b
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spelling	oai:doaj.org-article:a1cc1283e8ac418db9f0c7b8f213896b2021-12-05T14:10:57ZA fractional study of generalized Oldroyd-B fluid with ramped conditions via local & non-local kernels2192-80102192-802910.1515/nleng-2021-0013https://doaj.org/article/a1cc1283e8ac418db9f0c7b8f213896b2021-08-01T00:00:00Zhttps://doi.org/10.1515/nleng-2021-0013https://doaj.org/toc/2192-8010https://doaj.org/toc/2192-8029Convective flow is a self-sustained flow with the effect of the temperature gradient. The density is nonuniform due to the variation of temperature. The effect of the magnetic flux plays a major role in convective flow. The process of heat transfer is accompanied by mass transfer process; for instance condensation, evaporation and chemical process. Due to the applications of the heat and mass transfer combined effects in different field, the main aim of this paper is to do comprehensive analysis of heat and mass transfer of MHD unsteady Oldroyd-B fluid in the presence of ramped conditions. The new governing equations of MHD Oldroyd-B fluid have been fractionalized by means of singular and non-singular differentiable operators. In order to have an accurate physical significance of imposed conditions on the geometry of Oldroyd-B fluid, the ramped temperature, concentration and velocity are considered. The fractional solutions of temperature, concentration and velocity have been investigated by means of integral transform and inversion algorithm. The influence of physical parameters and flow is analyzed graphically via computational software (MATHCAD-15). The velocity profile decreases by increasing the Prandtl number. The existence of a Prandtl number may reflect the control of the thickness and enlargement of the thermal effect. The classical calculus is assumed as the instant rate of change of the output when the input level changes. Therefore it is not able to include the previous state of the system called the memory effect. Due to this reason, we applied the modern definition of fractional derivatives. Obtained generalized results are very important due to their vast applications in the field of engineering and applied sciences.Saeed Syed TauseefRiaz Muhammad BilalBaleanu DumitruDe Gruyterarticleoldroyd-b fluidramped velocityporous mediumlaplace transformationEngineering (General). Civil engineering (General)TA1-2040ENNonlinear Engineering, Vol 10, Iss 1, Pp 177-186 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	oldroyd-b fluid ramped velocity porous medium laplace transformation Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	oldroyd-b fluid ramped velocity porous medium laplace transformation Engineering (General). Civil engineering (General) TA1-2040 Saeed Syed Tauseef Riaz Muhammad Bilal Baleanu Dumitru A fractional study of generalized Oldroyd-B fluid with ramped conditions via local & non-local kernels
description	Convective flow is a self-sustained flow with the effect of the temperature gradient. The density is nonuniform due to the variation of temperature. The effect of the magnetic flux plays a major role in convective flow. The process of heat transfer is accompanied by mass transfer process; for instance condensation, evaporation and chemical process. Due to the applications of the heat and mass transfer combined effects in different field, the main aim of this paper is to do comprehensive analysis of heat and mass transfer of MHD unsteady Oldroyd-B fluid in the presence of ramped conditions. The new governing equations of MHD Oldroyd-B fluid have been fractionalized by means of singular and non-singular differentiable operators. In order to have an accurate physical significance of imposed conditions on the geometry of Oldroyd-B fluid, the ramped temperature, concentration and velocity are considered. The fractional solutions of temperature, concentration and velocity have been investigated by means of integral transform and inversion algorithm. The influence of physical parameters and flow is analyzed graphically via computational software (MATHCAD-15). The velocity profile decreases by increasing the Prandtl number. The existence of a Prandtl number may reflect the control of the thickness and enlargement of the thermal effect. The classical calculus is assumed as the instant rate of change of the output when the input level changes. Therefore it is not able to include the previous state of the system called the memory effect. Due to this reason, we applied the modern definition of fractional derivatives. Obtained generalized results are very important due to their vast applications in the field of engineering and applied sciences.
format	article
author	Saeed Syed Tauseef Riaz Muhammad Bilal Baleanu Dumitru
author_facet	Saeed Syed Tauseef Riaz Muhammad Bilal Baleanu Dumitru
author_sort	Saeed Syed Tauseef
title	A fractional study of generalized Oldroyd-B fluid with ramped conditions via local & non-local kernels
title_short	A fractional study of generalized Oldroyd-B fluid with ramped conditions via local & non-local kernels
title_full	A fractional study of generalized Oldroyd-B fluid with ramped conditions via local & non-local kernels
title_fullStr	A fractional study of generalized Oldroyd-B fluid with ramped conditions via local & non-local kernels
title_full_unstemmed	A fractional study of generalized Oldroyd-B fluid with ramped conditions via local & non-local kernels
title_sort	fractional study of generalized oldroyd-b fluid with ramped conditions via local & non-local kernels
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/a1cc1283e8ac418db9f0c7b8f213896b
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A fractional study of generalized Oldroyd-B fluid with ramped conditions via local & non-local kernels

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