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Impact of radiation in a stagnation point flow of Walters’ B fluid towards a Riga plate

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TLDR
In this paper, the stagnation point flow of Walters-B fluid induced by a Riga plate is investigated and the optimal values of convergence control parameters are computed by means of Optimal homotopy analysis method (OHAM) via BVPh2.0.
Abstract
In this article, the stagnation point flow of Walters-B fluid induced by a Riga plate is investigated. Heat transfer properties are investigated with thermal radiation effect and Newtonian heating. An electromagnetic actuator is a Riga-plate where a span wise associated array of irregular electrodes and permanent magnets mounted on a flat surface. Lorentz force is parallel to a surface which is generated by this array and it reduces exponentially in the direction normal to the surface. The non-linear ordinary differential equations through the fundamental laws of mass, linear momentum and energy are obtained using the suitable transformation. The optimal values of convergence control parameters are computed by means of Optimal homotopy analysis method (OHAM) via BVPh2.0. Graphical results for the dimensionless velocity and temperature are presented and discussed for various physical parameters. Local skin friction and Local Nusselt numbers are computed analytically using OHAM.

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Citations
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A study of dual stratification on stagnation point Walters' B nanofluid flow via radiative Riga plate: a statistical approach

TL;DR: In this paper, double stratification on stagnation point flow of Walter's B nanoliquid driven through Riga surface is examined in the current study, where the influence of Brownian and thermophoresis particle deposition is included in transport equations involved in the analysis.
Journal ArticleDOI

Magnetohydrodynamic Darcy–Forchheimer nanofluid flow over a nonlinear stretching sheet

TL;DR: In this article, a viscous incompressible nanofluid saturates the porous medium via Darcy-Forchheimer relation, and heat and mass transfer is analyzed through Brownian motion factor and Thermophoresis.
Journal ArticleDOI

Significance of Thermal Slip and Convective Boundary Conditions in Three Dimensional Rotating Darcy-Forchheimer Nanofluid Flow

TL;DR: This article is concerned with the nanofluid flow in a rotating frame under the simultaneous effects of thermal slip and convective boundary conditions, and Buongiorno’s model is adopted to see the features of Brownian diffusion and thermophoresis on the basis of symmetry fundamentals.
Journal ArticleDOI

Characteristics of chemical reaction and convective boundary conditions in Powell-Eyring nanofluid flow along a radiative Riga plate.

TL;DR: This communication aims to investigate the salient features of a nanofluid flow along a radiative Riga plate using Powell-Eyring model and convective boundary conditions and the effect of first order chemical reaction as well as the Brownian motion diffusion and Thermophoresis effects.
Journal ArticleDOI

Effects of hybrid nanofluid on novel fractional model of heat transfer flow between two parallel plates

TL;DR: In this article, the Brinkman type fluid (BTF) holding hybrid nanoparticles was discussed and the effect of related parameters was physically discussed using Mathcad and offered a comparison with the existing results from the literature.
References
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Journal ArticleDOI

Notes on the homotopy analysis method: Some definitions and theorems

TL;DR: In this article, the basic ideas and current developments of the homotopy analysis method, an analytic approach to get convergent series solutions of strongly nonlinear problems, which recently attracts interests of more and more researchers, are described.
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Heat transfer in stagnation-point flow towards a stretching sheet

TL;DR: In this paper, a two-dimensional stagnation point flow of an incompressible viscous fluid over a flat deformable sheet is investigated when the sheet is stretched in its own plane with a velocity proportional to the distance from the stagnation point, and it is shown that for a fluid of small kinematic viscosity, a boundary layer is formed when the stretching velocity is less than the free stream velocity.
Journal ArticleDOI

Elastico-viscous boundary-layer flows I. Two-dimensional flow near a stagnation point

TL;DR: In this article, the authors extended the boundary-layer theory for an idealized elastico-viscous liquid and showed that the main effect of elasticity is to increase the velocity in the boundary layer and increase the stress on the solid boundary.
Journal ArticleDOI

Fractional-order Legendre functions for solving fractional-order differential equations

TL;DR: In this article, a general formulation for the fractional-order Legendre functions (FLFs) is constructed to obtain the solution of the FDEs, where the concept of fractional derivative is adopted by using Riemann-Liouville fractional integral operator.
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