Influence of Convective Boundary Condition on Nonlinear Thermal Convection Flow of a Micropolar Fluid Saturated Porous Medium With Homogeneous-Heterogeneous Reactions

RamReddy, Chetteti; Pradeepa, T.

doi:10.5098/hmt.8.6

Cited by 1 publication

(2 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The boundary value problem equations along with boundary conditions (18) convert into an initial value problem. With this method, we convert into a first‐order system of equations as follows:

\begin{matrix} trueleft \\ true(\begin{matrix} trueleft \\ f, f^{normalI}, f^{I I}, f^{I I I}, f^{I V}, ϕ_{1}, ϕ_{1}^{normalI}, \\ ϕ_{2}, ϕ_{2}^{normalI}, G, G^{normalI}, ψ, ψ^{normalI}, ψ^{I I} \end{matrix} true) = true(\begin{matrix} trueleft \\ y_{1}, y_{2}, y_{3}, y_{4}, y_{5}, y_{6}, y_{7}, \\ y_{8}, y_{9}, y_{10}, y_{11}, y_{12}, y_{13}, y_{14} \end{matrix} true), \\ f = y_{1}, f^{normalI} = y_{2}, f^{I I} = y_{3}, f^{I I I} = y_{4}, f^{I V} = y_{5}, \\ {italicf}^{normalV} = \frac{- 1}{y_{1}} [y_{2} y_{5} ‐ 2 y_{3} y_{4}] + \frac{Re (1 + λ_{1})}{β y_{1}} (y_{1} y_{4} - y_{2} y_{3}) - \frac{1}{β y_{1} \cos θ} y_{5} - {italicSt}^{2} \end{matrix}

…”

Section: Solution Of the Problemmentioning

confidence: 99%

“…Hayat et al have explained the effect of the homogeneous‐heterogeneous reactions on the unsteady incompressible flow of a Carreau fluid in a peristaltic channel with Hall current. Homogeneous‐heterogeneous chemical reaction effects on incompressible laminar flow towards the stagnation‐point of a Maxwell fluid over a moving sheet with consideration of heat source or sink were addressed by Khan et al RamReddy and Pradeepa have carried out a numerical solution to examine the strength of homogeneous and heterogeneous chemical reactions on the steady laminar incompressible flow of a micropolar fluid over a vertical plate in a saturated Darcy porous medium with convective boundary condition and also incorporated nonlinear thermal convection. Abd El‐Aziz and Saleem et al reported a magneto non‐Newtonian power‐law fluid model with the presence of an internal nonuniform heat source/sink.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Influence of homogeneous‐heterogeneous reactions and induced magnetic field on the nonlinear thermal convective radiative Jeffrey liquid flow with heat source/sink

Raju

Ojjela

2019

Heat Trans. Asian Res.

View full text Add to dashboard Cite

An analysis has been carried out to investigate the effect of homogeneous-heterogeneous reactions and induced magnetic field on the unsteady two-dimensional incompressible nonlinear thermal convective velocity slip flow of a Jeffrey fluid in the presence of nonlinear thermal radiation and heat source/sink. We assumed that the flow is generated due to injection at the lower plate and suction at the upper plate. We obtained a numerical solution for the reduced nonlinear governing system of equations via the shooting technique with fourth-order Runge-Kutta integration. We plotted the graphs for various nondimensional parameters, like Deborah number, heat source/sink parameter, nonlinear convection parameter, nonlinear radiation parameter, magnetic Reynolds number, Strommer's number, velocity slip parameter, strengths of homogeneous, heterogeneous reaction parameters and skin friction over the nondimensional flow, temperature, concentration profiles and magnetic diffusivity fields. Also, we calculated the numerical values of boundary properties, such as the skin friction and heat transfer rate. We noticed that the temperature of the fluid is enhanced with the radiation parameter, whereas the concentration decreases with increase of the magnetic Reynolds number. The present results have good agreement with published work for the Newtonian case. K E Y W O R D S heat source/sink, homogeneous-heterogeneous reactions, induced magnetic field, Jeffrey fluid, nonlinear thermal convection, nonlinear thermal radiation

show abstract

“…The boundary value problem equations along with boundary conditions (18) convert into an initial value problem. With this method, we convert into a first‐order system of equations as follows: