The Effect of Nonlinear Thermal Radiation on EMHD Casson Nanofluid over a Stretchable Riga Plate with Temperature-Dependent Viscosity and Chemical Reaction

Document Type : Regular Article

Authors

Laboratory of Research in Physics and Engineering Sciences (LRPSI), Polydisciplinary Faculty, Sultan Moulay Slimane University, Beni Mellal, 23000, Morocco

10.22036/pcr.2023.388675.2311

Abstract

In this paper, the preeminent perspective is to examine the flow of ElectroMagnetoHydroDynamic (EMHD) Casson nanofluid through a stretchable Riga plate with variable viscosity comparing two basic models, Reynolds and Vogel’s models. Brownian motion, thermophoresis and nonlinear thermal radiation is considered. Using appropriate transformations, The PDEs undergo a process of conversion to nonlinear (ODEs), and solved numerically with Bvp4c method. The main goal is to visualize the influence of some parameter, such as modified Hartman number (0.5 ≤ E* ≤ 1.5), Casson parameter (0.3 ≤ β≤ 1.1), dimensionless parameter (0.5 ≤ S ≤ 1.5), suction parameter (-0.5 ≤ fw ≤ 0.5), Prandtl number (1 ≤ Pr ≤ 10), radiation parameter (1 ≤ Rd ≤ 5), space-dependent heat source (0 ≤ Q ≤ 2), chemical reaction (0.5 ≤ γ1 ≤ 1.5), temperature-dependent heat source (0 ≤ Q* ≤ 2), Schmidt number (1 ≤ Sc ≤ 1.8) and Brownian motion (0.1 ≤ Nb ≤ 0.5) on Temperature and velocity profiles. The outcomes reveal that the modified number of Hartmann has a remarkable impact on the velocity profiles which leads to control the flow. In addition, the increment of radiation parameter causes to enhance the temperature.

Graphical Abstract

The Effect of Nonlinear Thermal Radiation on EMHD Casson Nanofluid over a Stretchable Riga Plate with Temperature-Dependent Viscosity and Chemical Reaction

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