The heat-transfer characteristics of thin film flow over a hot sphere resulting from a cold vertical jet of liquid falling onto the surface have been investigated. The underlying physical features have been illustrated by numerical solutions of high accuracy based on the modified Keller box method. The solutions for film thickness distribution are good agreement with those obtained approximatel...

This work deals with the three-dimensional flow of nanofluid over a bi-directional exponentially stretching sheet. The effects of Brownian motion and thermophoretic diffusion of nanoparticles are considered in the mathematical model. The temperature and nanoparticle volume fraction at the sheet are also distributed exponentially. Local similarity solutions are obtained by an implicit finite dif...

A Theoretical analysis is carried out to study the boundary-layer flow over a continuously moving surface through an otherwise quiescent micropolar fluid. The transformed boundary-layer equations are solved numerically for a power-law surface velocity using the Keller-box method. The effects of the micropolar K and exponent m parameters on the velocity and microrotation field as well as on the ...

Magnetohydrodynamics (MHD) stagnation point flow and heat transfer of a Williamson fluid in the direction of an exponentially stretching sheet embedded in a thermally stratified medium subject to suction present in this examination. Suitable transformations are used to convert the partial differential equations corresponding to the momentum and energy equations into highly nonlinear ordinary di...

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The paper considers heat transfer characteristics of thin film flow over a hot horizontal flat plate resulting from a cold vertical jet of liquid falling onto the surface. A numerical solution of high accuracy is obtained for large Reynolds numbers using the modified Keller box method. For the flat plate, solutions for axisymmetric jets are obtained. In a parallel approximation theory, an advan...

This article is centered around generalizing a previous implicit function theorem of the author to be applicable for maps f : E⊓F → F which can be lifted to Keller C π –maps fi : E ⊓ Fi → Fi with Fi Banach and F = proj limFi . We prove theorems about existence and differentiability of functions g satisfying f (x, g (x)) = b constant. In addition to these abstract theorems, we give several examp...

This article is centered around generalizing a previous implicit function theorem of the author to be applicable for maps f : E⊓F → F which can be lifted to Keller C π –maps fi : E ⊓ Fi → Fi with Fi Banach and F = proj limFi . We prove theorems about existence and differentiability of functions g satisfying f (x, g (x)) = b constant. In addition to these abstract theorems, we give several examp...

An analysis is carried out to study the mixed convection partial slip flow of a Casson fluid over a vertically stretching sheet with convective boundary condition. In particular, we investigate the effects of different parameters such as magnetic, mixed convection, Casson, convective, slip, Prandtl number in the presence of joule heating. The governing partial differential equations are transfo...