Analyzing the MHD Bioconvective Eyring–Powell Fluid Flow over an Upright Cone/Plate Surface in a Porous Medium with Activation Energy and Viscous Dissipation

• Published in: Computation Vol. 12; no. 3; p. 48
• Main Authors: Peter, Francis, Sambath, Paulsamy, Dhanasekaran, Seshathiri
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.03.2024; MDPI
• Subjects: Activation energy; Approximation; Boundary conditions; Chemical reactions; Differential equations; Diffusion rate; Dissipation; Energy; Finite difference method; Flow velocity; Fluid dynamics; Fluid flow; Founding; Health and beauty aids; Heat transfer; Hygiene products; Investigations; Magnetohydrodynamics; Mass transfer; Mathematical analysis; MHD; Microorganisms; Nanoparticles; Newtonian fluids; Non Newtonian fluids; Nonlinear differential equations; Partial differential equations; Porosity; Porous media; Pressure distribution; Radiation; uniform heat source; Viscosity; viscous dissipation; India
• ISSN: 2079-3197; 2079-3197
• DOI: 10.3390/computation12030048

In the field of heat and mass transfer applications, non-Newtonian fluids are potentially considered to play a very important role. This study examines the magnetohydrodynamic (MHD) bioconvective Eyring–Powell fluid flow on a permeable cone and plate, considering the viscous dissipation (0.3 ≤ Ec ≤0.7), the uniform heat source/sink (−0.1 ≤ Q0 ≤ 0.1), and the activation energy (−1 ≤ E1 ≤ 1). The primary focus of this study is to examine how MHD and porosity impact heat and mass transfer in a fluid with microorganisms. A similarity transformation (ST) changes the nonlinear partial differential equations (PDEs) into ordinary differential equations (ODEs). The Keller Box (KB) finite difference method solves these equations. Our findings demonstrate that adding MHD (0.5 ≤ M ≤ 0.9) and porosity (0.3 ≤ Γ ≤ 0.7) effects improves microbial diffusion, boosting the rates of mass and heat transfer. Our comparison of our findings to prior studies shows that they are reliable.