Research Article

A modelling of bioconvective flow existing with tiny particles and quartic autocatalysis reaction across stratified upper horizontal surface of a paraboloid of revolution

Volume: 3 Number: 1 March 31, 2023
Nehad Ali Shah , Amos Oladele Popoola , Tosin Oreyeni *, Emmanuel Omokhuale , Muhammad Muhammad Altine
EN

A modelling of bioconvective flow existing with tiny particles and quartic autocatalysis reaction across stratified upper horizontal surface of a paraboloid of revolution

Abstract

The study considers the case of the unequal diffusion coefficients of reactant $A$ (bulk fluid) and reactant $B$ (catalyst at the wall) with the dispersion of both nanoparticles and gyrotactic microorganisms of Erying-Powell fluid flow over a surface with non-uniform thickness in the presence of variable fluid properties and stratification. The numerical solution of the transformed governing equations is obtained by using the Runge-Kutta method and shooting techniques. The outcome of this study is that the increasing values of temperature-dependent thermal conductivity parameter lead to the augmentation of the kinetic energy which thereafter causes a significant enhancement of the fluid temperature.

Keywords

Darcy-Forchheimer, bioconvection, Erying-Powell fluid, stratification, nanofluids, autocatalysis, paraboloid of revolution

References

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APA
Shah, N. A., Popoola, A. O., Oreyeni, T., Omokhuale, E., & Altine, M. M. (2023). A modelling of bioconvective flow existing with tiny particles and quartic autocatalysis reaction across stratified upper horizontal surface of a paraboloid of revolution. Mathematical Modelling and Numerical Simulation With Applications, 3(1), 74-100. https://doi.org/10.53391/mmnsa.1280184
AMA
1.Shah NA, Popoola AO, Oreyeni T, Omokhuale E, Altine MM. A modelling of bioconvective flow existing with tiny particles and quartic autocatalysis reaction across stratified upper horizontal surface of a paraboloid of revolution. MMNSA. 2023;3(1):74-100. doi:10.53391/mmnsa.1280184
Chicago
Shah, Nehad Ali, Amos Oladele Popoola, Tosin Oreyeni, Emmanuel Omokhuale, and Muhammad Muhammad Altine. 2023. “A Modelling of Bioconvective Flow Existing With Tiny Particles and Quartic Autocatalysis Reaction across Stratified Upper Horizontal Surface of a Paraboloid of Revolution”. Mathematical Modelling and Numerical Simulation With Applications 3 (1): 74-100. https://doi.org/10.53391/mmnsa.1280184.
EndNote
Shah NA, Popoola AO, Oreyeni T, Omokhuale E, Altine MM (March 1, 2023) A modelling of bioconvective flow existing with tiny particles and quartic autocatalysis reaction across stratified upper horizontal surface of a paraboloid of revolution. Mathematical Modelling and Numerical Simulation with Applications 3 1 74–100.
IEEE
[1]N. A. Shah, A. O. Popoola, T. Oreyeni, E. Omokhuale, and M. M. Altine, “A modelling of bioconvective flow existing with tiny particles and quartic autocatalysis reaction across stratified upper horizontal surface of a paraboloid of revolution”, MMNSA, vol. 3, no. 1, pp. 74–100, Mar. 2023, doi: 10.53391/mmnsa.1280184.
ISNAD
Shah, Nehad Ali - Popoola, Amos Oladele - Oreyeni, Tosin - Omokhuale, Emmanuel - Altine, Muhammad Muhammad. “A Modelling of Bioconvective Flow Existing With Tiny Particles and Quartic Autocatalysis Reaction across Stratified Upper Horizontal Surface of a Paraboloid of Revolution”. Mathematical Modelling and Numerical Simulation with Applications 3/1 (March 1, 2023): 74-100. https://doi.org/10.53391/mmnsa.1280184.
JAMA
1.Shah NA, Popoola AO, Oreyeni T, Omokhuale E, Altine MM. A modelling of bioconvective flow existing with tiny particles and quartic autocatalysis reaction across stratified upper horizontal surface of a paraboloid of revolution. MMNSA. 2023;3:74–100.
MLA
Shah, Nehad Ali, et al. “A Modelling of Bioconvective Flow Existing With Tiny Particles and Quartic Autocatalysis Reaction across Stratified Upper Horizontal Surface of a Paraboloid of Revolution”. Mathematical Modelling and Numerical Simulation With Applications, vol. 3, no. 1, Mar. 2023, pp. 74-100, doi:10.53391/mmnsa.1280184.
Vancouver
1.Nehad Ali Shah, Amos Oladele Popoola, Tosin Oreyeni, Emmanuel Omokhuale, Muhammad Muhammad Altine. A modelling of bioconvective flow existing with tiny particles and quartic autocatalysis reaction across stratified upper horizontal surface of a paraboloid of revolution. MMNSA. 2023 Mar. 1;3(1):74-100. doi:10.53391/mmnsa.1280184