Numerical Study of Heat and Mass Transfer for Williamson Nanofluid over Stretching/Shrinking Sheet along with Brownian and Thermophoresis Effects

Aiguo Zhu, Haider Ali, Muhammad Ishaq, Muhammad Sheraz Junaid, Jawad Raza and Muhammad Amjad ()
Additional contact information
Aiguo Zhu: School of Electronic Engineering, Chaohu University, Hefei 238000, China
Haider Ali: Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari 61100, Pakistan
Muhammad Ishaq: Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari 61100, Pakistan
Muhammad Sheraz Junaid: Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan
Jawad Raza: Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari 61100, Pakistan
Muhammad Amjad: Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari 61100, Pakistan

Energies, 2022, vol. 15, issue 16, 1-21

Abstract: The purpose of the current study is to investigate the non-Newtonian unsteady Williamson fluid on a stretching/shrinking surface along with thermophoresis and Brownian effects. Basically, the model consists of a time-dependent magnetic field. The fluid is considered to be electrically conducting due to the effect of the external magnetic field. The values of magnetic Reynolds number are so small that the induced magnetic field is assumed to be negligible. In the concentration equation, the effects of Brownian motion and thermophoresis are discussed. Employing the similarity transformations, the governing nonlinear Partial Differential Equations (PDEs) are converted into the Ordinary Differential Equations (ODEs). The resulting ODEs are solved with the combined effects of the Successive Over Relaxation (SOR) method and Finite Difference Method (FDM). The impact of all the including parameters such as suction parameter, injection parameter, stretching/shrinking parameter, the ratio of viscosity, local Weissenberg number, unsteadiness parameter, Eckert number, Prandtl number, Lewis number, Nusselt number, Brownian motion parameter, shear stress, heat transfer rate, and mass transfer rate are analyzed using graphs and tables. Results show that the values of fluid velocity are better for S = 8 , − S = 0 , λ = 0.3 , β * = 0.9 , W i = 0.3 , and A a = 2.0 . It is also depicted from the results that the values of boundary layer thickness are better for S = 0 , − S = − 8 , λ = 0.3 , β * = 0.1 , W i = 1.5 , and A a = 0.25 . From the above numeric results, it is concluded that the fluid velocity is reduced and the thermal boundary layer thickness is enhanced by the enhancement of the stretching parameter.

Keywords: williamson fluid; brownian motion; nanofluid flow (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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