Bioconvection Mangnetohydrodynamic Tangent Hyperbolic Nanofluid Flow with Quartic Chemical Reaction Past a Paraboloid Surface

Abstract

In this numerical study, the effect of quartic autocatalysis type of chemical reaction, buoyancy force and thermal radiation phenomenon and magnetic effect on tangent hyperbolic nanofluid past an upper horizontal surface of a paraboloid has been studied. By considering the Buongiorno model approach, a diffusion of unequal coefficients in the presence of gyrotactic microorganism is discussed. Implementation of microorganism's idea is used to stabilize the nanoparticles through bioconvection. The modeled PDEs of the problems are converted into nonlinear ODEs with the assistant of the similarity transformations. To tackle nonlinear ODEs, MATLAB package bvp4c is used. In addition, a hallmark of the Matlab code with the reported results in the literature is achieved by benchmarking. The variations in motion, concentration, temperature, and motile density due to sundry parameters have been analyzed in-depth via graphs. Our analysis shows that the density profile of motile of microorganism is hiked with an increment in the bioconvection Rayleigh number but decreases for higher thermal Grashof number.

Effect of Maxwell Velocity and Smoluchowski Temperature Jump Slip Conditions on Tangent Hyperbolic Nanofluid

“…ey showed that the velocity of the nanofluid is minimum near the wall, while an opposite trend is noted in the center of the channel. Atif et al [21][22][23] studied the radiative tangent hyperbolic nanofluid flow past a stretching sheet, a wedge, and a paraboloid surface of revolution. Khan et al [24] ascertained the double stratification effect on tangent hyperbolic nanofluid in a porous medium.…”

“…Under the boundary layer approximation, the governing equations [16][17][18][19][20][21][22][23][24] are as follows:…”