Journal of Physical Studies 27(2), Article 2402 [11 pages] (2023)
DOI: https://doi.org/10.30970/jps.27.2402

EXACT SOLUTIONS OF THE MHD THREE-DIMENSIONAL CASSON FLOW OF A TERNARY HYBRID NANOFLUID OVER A POROUS STRETCHING/SHRINKING SURFACE WITH MASS TRANSPIRATION

M. I. Kopp{1} , U. S. Mahabaleshwar2 , L. M. Pérez{3} 

{1}Institute for Single Crystals, NAS Ukraine, 60, ave. Nauky, Kharkiv, UA–61072, Ukraine,
{2}Department of Studies in Mathematics, Shivagangotri, Davangere University, Davangere, 577007, India,
{3}Departamento de Física, FACI, Universidad de Tarapacá, Casilla, 7D, Arica, Chile

Received 11 January 2023; in final form 22 February 2023; accepted 10 April 2023; published online 08 June 2023

In this paper, the three-dimensional Casson flow of a ternary hybrid nanofluid over a porous linearly stretching/shrinking surface in the presence of an external magnetic field is considered. The surface deformation process is described by introducing two parameters of stretching/shrinking in the lateral directions. Using similarity transformations, the basic set of nonlinear partial differential equations is converted into ordinary differential equations. An exact analytical solution to this boundary value problem is obtained. The influence of the Casson parameter, magnetic field, porosity medium, and stretching/shrinking parameter, taking into account mass transpiration, on the velocity profiles and the skin friction coefficients is considered in detail. It has been established that the results obtained in some limited cases are in excellent agreement with the available data. Tables show the new results for the skin friction coefficients in the lateral directions ($x$ and $y$) for different variants of surface deformation.

Key words: Casson flow, ternary hybrid nanofluid, mass transpiration, analytical solution.

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