Topic
Kummer's function
About: Kummer's function is a research topic. Over the lifetime, 150 publications have been published within this topic receiving 1534 citations.
Papers published on a yearly basis
1 / 2
Papers
TL;DR: In this paper, the Confluent Hypergeometric Functions (CGF) are used to express the hypergeometric functions of a given hypergeometrical function in the form of a convex polygon.
Abstract: Confluent Hypergeometric Functions By Dr L J Slater Pp ix + 247 (Cambridge: At the University Press, 1960) 65s net
427 citations
TL;DR: In this paper, an attempt has been made to study the heat and mass transfer effects in a boundary layer flow through porous medium of an electrically conducting viscoelastic fluid subject to transverse magnetic field in the presence of heat source/sink and chemical reaction.
84 citations
TL;DR: In this article, the second law of thermodynamics is applied to magnetohydrodynamic flow, heat and mass transfer of an electrically conducting viscoelastic liquid (Walters B ) past on a stretching surface, taking into account the effects of Joule dissipation, viscous dissipation and Darcy dissipation.
83 citations
TL;DR: In this paper, the heat and mass transfer effects in a boundary layer flow through porous medium of an electrically conducting viscoelastic fluid subject to transverse magnetic field in the presence of heat source/sink and chemical reaction have been analyzed.
Abstract: The heat and mass transfer effects in a boundary layer flow through porous medium of an electrically conducting viscoelastic fluid subject to transverse magnetic field in the presence of heat source/sink and chemical reaction have been analyzed. It has been considered the effects of radiation, viscous and Joule dissipations and internal heat generation/absorption. Closed form solutions for the boundary layer equations of viscoelastic, second-grade and Walters’ B′ fluid models are obtained. The method of solution involves similarity transformation. The transformed equations of thermal and mass transport are solved by applying Kummer’s function. The solutions of temperature field for both prescribed surface temperature as well as prescribed surface heat flux are obtained. It is important to remark that the interaction of magnetic field is found to be counterproductive in enhancing velocity and concentration distribution whereas the presence of chemical reaction as well as porous matrix with moderate values of magnetic parameter reduces the temperature and concentration fields at all points of flow domain.
81 citations
TL;DR: In this article, mass and heat transfer analysis over an electrically conducting viscoelastic (Walters B′) fluid over a stretching surface in presence of transverse magnetic field is addressed.
Abstract: This article addresses the mass and heat transfer analysis over an electrically conducting viscoelastic (Walters B′) fluid over a stretching surface in presence of transverse magnetic field. The impact of chemical reaction, as well as non-uniform heat source, are also taken into account. Similarity transformations are employed to model the equations. The governing equations comprises of momentum, energy, and concentration which are modified to a set of non-linear differential equations and then solved by applying confluent hypergeometric function known as “Kummer’s function”. The exact solution for heat equation is obtained for two cases i.e. (1) Prescribed surface temperature, (2) Prescribed wall heat flux. Physical behavior of all the sundry parameters are against concentration, temperature, and velocity profile are presented through graphs. The inclusion of magnetic field is counterproductive in diminishing the velocity distribution whereas reverse effect is encountered for concentration and temperature profiles.
78 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2020 | 1 |
| 2018 | 1 |
| 2017 | 6 |
| 2016 | 13 |
| 2015 | 9 |
| 2014 | 3 |