Bioconvection in MHD nanofluid flow with nonlinear thermal radiation and quartic autocatalysis chemical reaction past an upper surface of a paraboloid of revolution

Makinde, Oluwole Daniel; Animasaun, Isaac Lare

doi:10.1016/j.ijthermalsci.2016.06.003

Cited by 266 publications

(62 citation statements)

References 33 publications

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“…Heat transfer mechanism in the living tissues involves a combination of thermal conduction in tissues, convection and perfusion of blood, and metabolic heat production. In Makinde and Animasaun [25], Radiation was considered only at the skin surface and is negligible everywhere else. Assuming local thermal equilibrium (between blood and tissue), Pennes [12] proposed a model to describe the arterial blood temperature which is uniform throughout the tissue while the venous blood temperature is equal to local tissue temperature.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Radiative Microwave Heating of Hyperthermia Therapy on Breast Cancer in a Porous Medium

Oke¹,

Salawu²,

Matadi³

et al. 2018

Preprint

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Cancer is a leading cause of morbidity and mortality worldwide, yet much is still unknown about its mechanism of establishment and destruction. Recently, studies had shown that tumor cells cannot survive under the high temperature conditions. This treatment technique is called Hyperthermia. This report presents the case of radiative microwave heating of hyperthermia therapy on breast cancer in a porous medium. In this study, the steady state is solved analytically while unsteady state is solved using semi-implicit finite difference to get a more accurate prediction of blood temperature distributions within the breast tissues. A moderate temperature hyperthermia treatment is apply which results into cell death due to an increase in the level of cell sensitivity to radiation therapy and blood flow in tumor and oxygen. The results show that by applying metabolic heat generation rate of 3.97X10 5 W m −3 , it takes upto 2 minutes for the tumor cells to get the require therapeutic temperature point.

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Section: Mathematical Formulationmentioning

confidence: 99%

Radiative Microwave Heating of Hyperthermia Therapy on Breast Cancer in a Porous Medium

Oke¹,

Salawu²,

Matadi³

et al. 2018

Preprint

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“…Recently, the flow of different fluids over an upper horizontal surface with variable thickness has been investigated extensively in [5][6][7]. This attracted Makinde and Animasaun [8,9] to focus on the case of quartic autocatalysis kind of chemical reaction in the flow of an electrically conducting nanofluid containing gyrotactic-microorganism over an upper horizontal surface of a paraboloid of revolution in the presence and absence of thermophoresis and Brownian motion. In most cases, plastic dynamic viscosity of non-Newtonian Casson fluid tends to take energy away from the motion and transform it into internal energy.…”

Section: Introductionmentioning

confidence: 99%

Viscous Dissipation Effects on the Motion of Casson Fluid over an Upper Horizontal Thermally Stratified Melting Surface of a Paraboloid of Revolution: Boundary Layer Analysis

Ajayi

Omowaye

Animasaun

2017

Journal of Applied Mathematics

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The problem of a non-Newtonian fluid flow past an upper surface of an object that is neither a perfect horizontal/vertical nor inclined/cone in which dissipation of energy is associated with temperature-dependent plastic dynamic viscosity is considered. An attempt has been made to focus on the case of two-dimensional Casson fluid flow over a horizontal melting surface embedded in a thermally stratified medium. Since the viscosity of the non-Newtonian fluid tends to take energy from the motion (kinetic energy) and transform it into internal energy, the viscous dissipation term is accommodated in the energy equation. Due to the existence of internal space-dependent heat source; plastic dynamic viscosity and thermal conductivity of the non-Newtonian fluid are assumed to vary linearly with temperature. Based on the boundary layer assumptions, suitable similarity variables are applied to nondimensionalized, parameterized and reduce the governing partial differential equations into a coupled ordinary differential equations. These equations along with the boundary conditions are solved numerically using the shooting method together with the Runge-Kutta technique. The effects of pertinent parameters are established. A significant increases in Re 1/2 is guaranteed with when magnitude of is large. Re 1/2 decreases with and .

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“…The heat and mass transfer in man-made systems and MHD flows both in viscous and water-based porous medium has wide ranging industrial applications. To understand the behavior of nanofluids, the combined effects of pertinent parameters such as Brownian motion, thermophoresis, buoyancy driven bioconvection (Uddin et al, 2016) were tackled using nonlinear partial differential equations to ordinary differential equations by employing various techniques such as Runge-Kutta order method (Makinde and Animasaun, 2016). Although in real-world solutions to solve these problems are very important, the extensive modeling and mathematical simulations has contributed in nanofluid bioconvection as unprecedented achievement.…”

Section: Introductionmentioning

confidence: 99%

MHD biconvective flow of Powell Eyring nanofluid over stretched surface

et al. 2017

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The present work is focused on behavioral characteristics of gyrotactic microorganisms to describe their role in heat and mass transfer in the presence of magnetohydrodynamic (MHD) forces in Powell-Eyring nanofluids. Implications concerning stretching sheet with respect to velocity, temperature, nanoparticle concentration and motile microorganism density were explored to highlight influential parameters. Aim of utilizing microorganisms was primarily to stabilize the nanoparticle suspension due to bioconvection generated by the combined effects of buoyancy forces and magnetic field. Influence of Newtonian heating was also analyzed by taking into account thermophoretic mechanism and Brownian motion effects to insinuate series solutions mediated by homotopy analysis method (HAM). Mathematical model captured the boundary layer regime that explicitly involved contemporary non linear partial differential equations converted into the ordinary differential equations. To depict nanofluid flow characteristics, pertinent parameters namely bioconvection Lewis number Lb, traditional Lewis number Le, bioconvection Péclet number Pe, buoyancy ratio parameter Nr, bioconvection Rayleigh number Rb, thermophoresis parameter Nt, Hartmann number M, Grashof number Gr, and Eckert number Ec were computed and analyzed. Results revealed evidence of hydromagnetic bioconvection for microorganism which was represented by graphs and tables. Our findings further show a significant effect of Newtonian heating over a stretching plate by examining the coefficient values of skin friction, local Nusselt number and the local density number. Comparison was made between Newtonian fluid and Powell-Eyring fluid on velocity field and temperature field. Results are compared of with contemporary studies and our findings are found in excellent agreement with these studies.

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Bioconvection in MHD nanofluid flow with nonlinear thermal radiation and quartic autocatalysis chemical reaction past an upper surface of a paraboloid of revolution

Cited by 266 publications

References 33 publications

Radiative Microwave Heating of Hyperthermia Therapy on Breast Cancer in a Porous Medium

Radiative Microwave Heating of Hyperthermia Therapy on Breast Cancer in a Porous Medium

Viscous Dissipation Effects on the Motion of Casson Fluid over an Upper Horizontal Thermally Stratified Melting Surface of a Paraboloid of Revolution: Boundary Layer Analysis

MHD biconvective flow of Powell Eyring nanofluid over stretched surface

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