An investigation of three-dimensional magnetohydrodynamic bioconvective Eyring–Powell fluid flow model with energy activation and nonlinear heat radiation
Utpal Jyoti Das, Indushri Patgiri
Abstract
The motivation of this research is to investigate the 3D magnetohydrodynamic (MHD) bioconvective flow of the non-Newtonian Eyring–Powell fluid model on a stretchable sheet. The Eyring–Powell model, commonly used in non-Newtonian fluid mechanics, depicts the flow dynamics and transferring heat of nanofluids. This paper examines flow behaviour, including the novel impact of nonlinear radiative heat and heat sink in the energy equation, as well as energy activation in the concentration equation in the presence of motile microorganisms. Appropriate similarity variables convert leading equations to dimension-free format and these equations are solved via bvp4c technique. Here, graphs depict the flow behaviour of temperature, motile microbe density, velocity, and concentration boundaries. The impacts of these quantities are displayed in tables. From observations, it is depicted that the magnetic and slip effect shrinks the fluid velocity. Thermophoresis effect and Eckert number raise the concentration and temperature of the fluid, respectively. Motile parameter reduces the microorganism’s density. Also, the velocity and temperature of the Eyring–Powell fluid decrease by approximately 47.6% and 11.76%, respectively, compared to the Newtonian fluid. The validity of this work is shown by matching results with previous studies when new effects are removed, as shown in Table 4.