Slip Effects on Magneto Hydro Dynamic Stagnation Point Flow of Carreau-Nanofluid Over a Linear Sheet

Rajendar, Punnam; Babu, L. Anand; Laxmi, T. Vijaya

doi:10.1166/jon.2018.1474

Cited by 1 publication

(1 citation statement)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The exact solution of nonlinear coupled ordinary differential equations , , and is not possible. To facilitate the numerical solution of these equations, an implicit finite difference method, which is used by many researchers to investigate the solution of boundary value problems, is used. First of all, we reduce the higher‐order differential equation to the systems of first‐order differential equations, and the corresponding first‐order system is:

f false' = p,

p false' = q,

q false' - p^{2} + f q + 1 = 0,

h false' = r,

r false' + f r - p h + false(α - β false) = 0,

θ false' = s,

ϕ false' = z,

\frac{1}{Pr} s false' + \frac{4}{3 Pr} R d {false(1 + false(θ_{w} - 1 false) θ false)}^{3} s false' + \frac{4}{Pr} R d false(θ_{w} - 1 false) {false(1 + false(θ_{w} - 1 false) θ false)}^{2} s^{2} + D u z' + f s = 0,

z' + S c S r s' + S c f z - S c β ϕ^{n} = <...>

…”

Section: Solution Proceduresmentioning

confidence: 99%

Analysis of nonlinear thermal radiation and higher‐order chemical reactions on the non‐orthogonal stagnation point flow over a lubricated surface

et al. 2019

View full text Add to dashboard Cite

A numerical study is performed to discuss the heat and mass transfer on oblique stagnation point flow over a lubricated surface with nonlinear thermal radiation and higher-order chemical reactions. The problem is formulated using basic conservation laws of mass, momentum, energy, and mass concentration in terms of partial differential equations along with nonlinear boundary conditions. These governing equations are transformed into ordinary differential equations by means of similarity transformations. The system of resulting ordinary differential equations are solved numerically by an implicit finite difference scheme known as the Keller-box method. The quantities elaborated in the problem, such as velocity, temperature, skin friction, and local Nusselt and Sherwood numbers are analyzed for several values of involved parameters. The obtained results are presented through various graphs and tabular data and showed a good agreement with the existing results in the literature, which are the subcases of the present work. The heat transfer rate enhances with nonlinear thermal radiation and mass transfer rate decreases with increasing the order of chemical reaction. K E Y W O R D S chemical reaction, Keller-box method, lubricated surface, nonlinear radiation w 1 2 and β = 1.0 c ABBASI ET AL.| 685

show abstract