Buoyancy effects on nanoliquids film flow through a porous medium with gyrotactic microorganisms and cubic autocatalysis chemical reaction

Abstract

This article is based on the mathematical model constructed to analyze the simultaneous flow and heat transfer of two nanoliquids (Casson and Williamson) in the presence of gyrotactic microorganisms and cubic autocatalysis chemical reaction through a porous medium under the potentiality of buoyancy forces. Heterogeneous reaction existing on the surface is described by isothermal cubic autocatalytic chemical reaction, whereas homogeneous reaction is taking place at far field described by first-order kinetics. Similarity transformations are used to get the different order differential equations from the governing equations which are solved via an efficient technique namely homotopy analysis method. The effects of all the non-dimensional parameters on velocity, temperature, concentration, and density of motile microorganisms are shown through graphs and elucidated. Velocity increases with the Weissenberg parameter and decreases with the Casson nanofluid parameter in the presence of magnetic field and porous medium. Temperature decreases with the high values of slip condition. The dual behavior of concentration profile for the strength of homogeneous reaction parameter is observed. Flow of microorganisms decreases based on the parameters of porous medium, magnetic field, and heterogeneous chemical reaction. There exists an excellent agreement between the present and published work.

Second law analysis with effects of Arrhenius activation energy and binary chemical reaction on nanofluid flow

“…Maleque 27 investigated activation energy accompanying both type of reactions of heating absorbing and evolving in the movement and heating transportation for which numerical solution was obtained through RKF with the collaboration of other procedure along with NS iteration procedure. Since activation energy is related to heating and saturation transferring so the heating and saturation transferring studies may be consulted in the references [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45] .…”

Entropy generation in bioconvection nanofluid flow between two stretchable rotating disks

“…′ Illustration of different mathematical letters and notations used in Eqs. (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17) are given in Table 1. Substituting the values from Eq.…”

“…They applied the finite difference method and observed that enhanced heat transfer exist by placing the heater in lower half of the inner wall. Zuhra et al 6 presented the work on gravity driven simultaneous flow of Casson and Williamson nanofluids and heat transfer with homogeneous-heterogeneous chemical reactions. Sankar et al 7 attempted numerically the natural convection heat transfer in a cylindrical annular cavity with discrete heat sources on the inner wall whose purpose is to cool the chips in an effective way to prevent overheating and hot spots.…”

Bioconvection due to gyrotactic microbes in a nanofluid flow through a porous medium

“…Zuhra et al. [ 14 ] constructed a mathematical model to investigate the flow and heat transportation of two nanoliquids (Williamson and Casson) under the influence of autocatalysis chemical reaction and gyrotactic microbes through a porous media along a vertical solid surface. The similarity transformation was utilized to solve the flow model equations and then the acquired coupled differential equations were simplified by employing the Homotopy Analysis Method (HAM).…”