Special functions-based solutions of unsteady convective flow of a MHD Maxwell fluid for ramped wall temperature and velocity with concentration

Abstract In this paper a new approach is taken to find the exact solutions for generalized unsteady magnetohydrodynamic transport of a rate-type fluid near an unbounded upright plate and is analyzed for ramped wall temperature and velocity with constant concentration. The vertical plate is suspended...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Muhammad Bilal Riaz, Jan Awrejcewicz, Aziz Ur Rehman, Muhammad Abbas
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Special functions Laplace transform Maxwell fluid Ramped conditions Velocity field Porous material Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/7140ee54942f4752ba0041838631b44d
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:7140ee54942f4752ba0041838631b44d
record_format	dspace
spelling	oai:doaj.org-article:7140ee54942f4752ba0041838631b44d2021-11-28T12:08:24ZSpecial functions-based solutions of unsteady convective flow of a MHD Maxwell fluid for ramped wall temperature and velocity with concentration10.1186/s13662-021-03657-61687-1847https://doaj.org/article/7140ee54942f4752ba0041838631b44d2021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03657-6https://doaj.org/toc/1687-1847Abstract In this paper a new approach is taken to find the exact solutions for generalized unsteady magnetohydrodynamic transport of a rate-type fluid near an unbounded upright plate and is analyzed for ramped wall temperature and velocity with constant concentration. The vertical plate is suspended in a porous medium and encounters radiation effects. Solutions based on special functions are obtained using an integral transform for an unsteady MHD Maxwell fluid in the presence of ramped velocity, temperature and constant concentration. The relations for Nusselt number and skin-friction coefficient are efficiently computed to precisely estimate the rate of heat transfer at the boundary and the shear stress. Results are also discussed in detail and demonstrated graphically using software to comprehensively analyze the dynamics of the proposed problem, and the physical impact of several system parameters, such as magnetic field M, Prandtl number Pr, the relaxation time λ, dimensionless time τ, Schmidt number Sc, Mass and Thermal Grashof numbers Gm and Gr, respectively, is studied. Furthermore, solutions for some recently published work are compared with the current study that endorses the authenticity of our derived results and proves that those investigations are limiting or special cases of the current problem.Muhammad Bilal RiazJan AwrejcewiczAziz Ur RehmanMuhammad AbbasSpringerOpenarticleSpecial functionsLaplace transformMaxwell fluidRamped conditionsVelocity fieldPorous materialMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-16 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Special functions Laplace transform Maxwell fluid Ramped conditions Velocity field Porous material Mathematics QA1-939
spellingShingle	Special functions Laplace transform Maxwell fluid Ramped conditions Velocity field Porous material Mathematics QA1-939 Muhammad Bilal Riaz Jan Awrejcewicz Aziz Ur Rehman Muhammad Abbas Special functions-based solutions of unsteady convective flow of a MHD Maxwell fluid for ramped wall temperature and velocity with concentration
description	Abstract In this paper a new approach is taken to find the exact solutions for generalized unsteady magnetohydrodynamic transport of a rate-type fluid near an unbounded upright plate and is analyzed for ramped wall temperature and velocity with constant concentration. The vertical plate is suspended in a porous medium and encounters radiation effects. Solutions based on special functions are obtained using an integral transform for an unsteady MHD Maxwell fluid in the presence of ramped velocity, temperature and constant concentration. The relations for Nusselt number and skin-friction coefficient are efficiently computed to precisely estimate the rate of heat transfer at the boundary and the shear stress. Results are also discussed in detail and demonstrated graphically using software to comprehensively analyze the dynamics of the proposed problem, and the physical impact of several system parameters, such as magnetic field M, Prandtl number Pr, the relaxation time λ, dimensionless time τ, Schmidt number Sc, Mass and Thermal Grashof numbers Gm and Gr, respectively, is studied. Furthermore, solutions for some recently published work are compared with the current study that endorses the authenticity of our derived results and proves that those investigations are limiting or special cases of the current problem.
format	article
author	Muhammad Bilal Riaz Jan Awrejcewicz Aziz Ur Rehman Muhammad Abbas
author_facet	Muhammad Bilal Riaz Jan Awrejcewicz Aziz Ur Rehman Muhammad Abbas
author_sort	Muhammad Bilal Riaz
title	Special functions-based solutions of unsteady convective flow of a MHD Maxwell fluid for ramped wall temperature and velocity with concentration
title_short	Special functions-based solutions of unsteady convective flow of a MHD Maxwell fluid for ramped wall temperature and velocity with concentration
title_full	Special functions-based solutions of unsteady convective flow of a MHD Maxwell fluid for ramped wall temperature and velocity with concentration
title_fullStr	Special functions-based solutions of unsteady convective flow of a MHD Maxwell fluid for ramped wall temperature and velocity with concentration
title_full_unstemmed	Special functions-based solutions of unsteady convective flow of a MHD Maxwell fluid for ramped wall temperature and velocity with concentration
title_sort	special functions-based solutions of unsteady convective flow of a mhd maxwell fluid for ramped wall temperature and velocity with concentration
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/7140ee54942f4752ba0041838631b44d
work_keys_str_mv	AT muhammadbilalriaz specialfunctionsbasedsolutionsofunsteadyconvectiveflowofamhdmaxwellfluidforrampedwalltemperatureandvelocitywithconcentration AT janawrejcewicz specialfunctionsbasedsolutionsofunsteadyconvectiveflowofamhdmaxwellfluidforrampedwalltemperatureandvelocitywithconcentration AT azizurrehman specialfunctionsbasedsolutionsofunsteadyconvectiveflowofamhdmaxwellfluidforrampedwalltemperatureandvelocitywithconcentration AT muhammadabbas specialfunctionsbasedsolutionsofunsteadyconvectiveflowofamhdmaxwellfluidforrampedwalltemperatureandvelocitywithconcentration
_version_	1718408203827412992

Special functions-based solutions of unsteady convective flow of a MHD Maxwell fluid for ramped wall temperature and velocity with concentration

Ejemplares similares