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Parametric Effects of Heat and Mass Transport On Steady Hydrodynamics Viscoelastic Fluid Flow with Soret-Dufour in Porous Materials
Subject area: Science,Engineering and Technology · Area of research: Fluid Dynamics
Abstract
The study aimed to present graphically the analysis of various parameters that explain soret-dufour effects on heat and mass transport of hydrodynamics viscoelastic flow in porous materials, with primary objectives of developing a mathematical model that describes the system. We derived a nonlinear mathematical model for the parametric effects of fluids on energy generation and efficiency, and solve the nonlinear model numerically to determine the effects of dimensionless parameters on heat and mass transport in porous materials with soret-dufour effects. The emanating partial differential equations were reduced to couple nonlinear ordinary differential equations with transformation similarities. Embedded fourth order Runge-Kutta method with shooting techniques were used to simplify the ordinary differential equations which represent convective heat and mass transport. The results showed significant changed in Dufour and Soret, where decreased in Nusselt was noticed in Dufour but increased in Soret. Also increased in velocity profile but decreased in Sherwood and Nusselt number respectively. Increased in radiation parameter led to corresponding increased in velocity profile and Sherwood numbers but not in Nusselt number. Concluding that solutal Grashof number, thermal Grashof number, magnetic parameter, radiation parameter, Dufour and Soret effects had significant effects on hydrodynamic viscoelastic fluid flow in porous materials.
Keywords
Parameric, Hydrodynamics, Viscoelastic, Dufour, Soret
References
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[3] Gizachew, A. and Shankar, B. (2018), MHD Flow of Non-Newtonian Viscoelastic Fluid on Stretching Sheet With The Effect of Slip Velocity. International Journal of Engineering and Manufacturing Science. ISSN 2249-3115 (8)1 1-14
[4] Hayat, T. and Sajid, M. (2008). Analytic solution for axi-symmetric flow and heattransfer of a second grade fluid past a stretching sheet. Int. J. Heat Mass Transfer, 50, 75-84.
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[8] Kala, B. S., Singh, M. and Kumar, A. (2014). Steady MHD free convective flow and heat transfer over nonlinearly stretching sheet embedded in an extended Darcy Forcheimmer porous medium with viscous dissipation. J. Global Res. Math. Achives, 1-5.
[9] Mfebe, J. F., Amoo, S. A. and Anyanwu, E. O. (2025), Analysis of cross-diffusion effects on heat and mass transfer of unsteady magnetohydrodynamics viscoelastic fluid flow in exponentially- stretching vertical and inclined porous surfaces. A dissertation report in the department of mathematics, FUW, wukari, Nigeria.
[10] TVX¼Y¼[¼]v_x_¼_¼a¼c¼e¼g¼ijŽk�kl7l9l:l;lFl»l»nønùnúnoo¨qªqr¶r¸r¹r™sšsKtLtuuÜuÝuwwøwñññññññññññññññåññÖÊ廬¬¬ “„u¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬hôthôtCJOJQJaJhÂ)hôtCJOJQJaJ*hÂ)CJOJQJaJhÂ)CJOJQJaJhÂ)hÂ)CJOJQJaJhA$ÇhA$ÇCJOJQJaJh˜gCJOJQJaJh˜gh˜gCJOJQJaJh8!úCJOJQJaJh<a•h<a•CJOJQJaJ.<wv_x_:l;lFlùnúnoªq¹ršsLtuÝuwùw7y�Ü�õõõííãÛÛÆÆÆÆÆÆÆÆÆÆ±$ &F„ª„Vþ¤^„ª`„Vþa$gd^~ $ &F„ª„Vþ¤:^„ª`„Vþa$gd8!ú$a$gdôt $¤a$gdÂ)$a$gdA$Ç $¤a$gd<a•‚'‚(‚)‚0‚4‚h‚i‚ññâàññâÑÉÅÉÅÉÅÉų¤³¤³¤³¤³š–„¤„m,jh˜yðhfPä5�CJOJQJU^JaJ#h˜yðh˜g5�CJOJQJ^JaJhÕ&Ïh^~ hëQÉ5�CJh3tð5�CJOJQJ^JaJ#h˜yðh^~ 5�CJOJQJ^JaJhóªjhóªUh8!úhÒnàCJOJQJaJUh8!úhÂ)CJOJQJaJhÂ)hÂ)CJOJQJaJ#Nandeppanavar, M. M., Vajravelu, K. and Abel, M. S. (2011), Heat transfer in MHD viscoelastic boundary layer flow over a stretching sheet with thermal radiation and non-uniform heat source/sink, Communications in Nonlinear Science and Numerical Simulation, 16, 3578-3590. [Some characters in this reference could not be displayed correctly — please refer to the published PDF for the full reference.]
[11] Sidheswar, P. G. and Mahabaleswar, U. S. (2005), Effect of radiation and heat source on MHD flow of a visco-elastic liquid and heat transfer over a stretching sheet, Int. J. Non-Linear Mech. 49, 807–820.
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How to cite this paper
@article{1708870,
author = {Mfebe, J. F., Amoo, S. A., Anyanwu, E. O.},
title = {Parametric Effects of Heat and Mass Transport On Steady Hydrodynamics Viscoelastic Fluid Flow with Soret-Dufour in Porous Materials},
journal = {Iconic Research And Engineering Journals},
year = {2025},
volume = {8},
number = {12},
pages = {1866-1878},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1708870.pdf},
abstract = {The study aimed to present graphically the analysis of various parameters that explain soret-dufour effects on heat and mass transport of hydrodynamics viscoelastic flow in porous materials, with primary objectives of developing a mathematical model that describes the system. We derived a nonlinear mathematical model for the parametric effects of fluids on energy generation and efficiency, and solve the nonlinear model numerically to determine the effects of dimensionless parameters on heat and mass transport in porous materials with soret-dufour effects. The emanating partial differential equations were reduced to couple nonlinear ordinary differential equations with transformation similarities. Embedded fourth order Runge-Kutta method with shooting techniques were used to simplify the ordinary differential equations which represent convective heat and mass transport. The results showed significant changed in Dufour and Soret, where decreased in Nusselt was noticed in Dufour but increased in Soret. Also increased in velocity profile but decreased in Sherwood and Nusselt number respectively. Increased in radiation parameter led to corresponding increased in velocity profile and Sherwood numbers but not in Nusselt number. Concluding that solutal Grashof number, thermal Grashof number, magnetic parameter, radiation parameter, Dufour and Soret effects had significant effects on hydrodynamic viscoelastic fluid flow in porous materials.},
keywords = {Parameric, Hydrodynamics, Viscoelastic, Dufour, Soret},
month = {June},
}