Effects of Heat and Mass Transfer on MHD Free Convection Flow Near a Moving Vertical Plate of a Radiating and Chemically Reacting Fluid

Изучается задача о нестационарном свободно конвективном МГД-течении и массопереносе вязкой, электропроводной и химически реагирующей несжимаемой жидкости при наличии теплового излучения и под влиянием однородного магнитного поля, приложенного перпендикулярно к бесконечному вертикальному слою, который движется с переменной скоростью. Основной целью данного исследования было рассмотреть влияние теплового излучения, магнитного поля и постоянной химической реакции на параметры течения. Предполагается, чтожидкость является серой, излучающей, поглощающей, но не рассеивающей средой. Решение представленной задачи получено в замкнутой форме с использованием преобразования Лапласа. Приводятся выражения для скорости, температуры, концентрации, поверхностного трения и скоростей изменения тепло и массопереноса. Обсуждаются некоторые интересные физические явления, возникающие при различных типах движения слоя. Полученные результаты также представлены в виде графиков, которые показывают влияние различных параметров и физические аспекты задачи.The problem of unsteady MHD free convection flow and mass transfer of a viscous, electrically conducting and chemically reacting incompressible fluid in presence of thermal radiation and under the influence of uniform magnetic field applied normal to an infinite vertical plate, which moves with time dependent velocity is studied. The primary purpose of this study was to characterize the effects of thermal radiative heat transfer, magnetic field parameter, chemical reaction rate constant etc on the flow properties. The fluid is also assumed to be gray; emitting absorbing but non scattering medium and the optically thick radiation limit is considered. The solutions of the present problem are obtained in closed form by Laplace transform technique and the expressions for velocity, temperature, concentration, skin friction,rate of heat and mass transfer has been obtained. Some important applications of physical interest for different type motion of the plate are discussed. The results obtained have also been presented numerically through graphs to observe the effects of various parameters and the physical aspects of the problem

Simultaneous Effects of Slip Conditions and Wall Properties on MHD Peristaltic Flow of a Maxwell Fluid with Heat Transfer

The effects of both wall slip conditions and heat transfer on the magnetohydrodynamics (MHD) peristaltic flow of a Maxwell fluid in a porous planar channel with elastic wall properties have been studied. Mathe- matical formulation is based upon the modified Darcys law. The analytical solution has been derived for the stream function and temperature under the assumptions of small wave number.The results obtained in the analysis have been discussed numerically and explained graphically.Было изучено влияние условий проскальзывания и теплопереноса на волнообразное магнитогид- родинамическое (МГД) течение максвелловской жидкости в пористом плоском канале с упруги- ми стенками. Математическая формулировка задачи основана на модифицированном уравнении Дарси. Аналитическое решение было получено для функции тока и температуры в предположе- нии малых волновых чисел. Полученные результаты представлены в численной и графической форме

A mathematical model on MHD slip flow and heat transfer over a nonlinear stretching sheet

Some analyses have been carried out to study the influence of suction/blowing, thermal radiation and temperature dependent fluid properties on the hydro-magnetic incompressible electrically conducting fluid flow and heat transfer over a permeable stretching surface with partial slip boundary conditions. It is assumed that the fluid viscosity and the thermal conductivity vary as an inverse function and linear function of temperature respectively. Using the similarity transformation, the governing system of non-linear partial differential equations are transformed into non-linear ordinary differential equations and are solved numerically using symbolic software MATHEMATICA 7.0. The effects of various physical parameters on the flow and heat transfer characteristics as well as the skin friction coefficient and Nusselt number are illustrated graphically. The physical aspects of the problem are highlighted and discussed

Flow and heat transfer characteristics of nanofluids in a rotating frame

The problem of unsteady MHD free convection flow of nanofluids via a porous medium bounded by a moving vertical semi-infinite permeable flat plate with constant heat source and convective boundary condition in a rotating frame of reference is studied theoretically. The velocity along the plate i.e. slip velocity is assumed to oscillate in time with constant frequency so that the solutions of the boundary layer are the same oscillatory type. The dimensionless governing equations for this investigation are solved analytically using small perturbation approximation. Two types of nanofluids, namely Cu–water and Al2O3–water are used. The effects of various parameters on the flow and heat transfer characteristics are discussed through graphs and tables

Radiation and melting effects on MHD boundary layer flow over a moving surface

This paper presents a mathematical analysis of MHD flow and heat transfer from a warm, electrically conducting fluid to melting surface moving parallel to a constant free stream in the presence of thermal radiation. The similarity transformation technique is used to convert the governing partial differential equations into the self-similar ordinary differential equations and then solved numerically using MATLAB BVP solver bvp4c. Numerical results for the dimensionless velocity and temperature profiles as well as for the skin friction and the Nusselt number are elucidated for different values of the pertinent parameters. Comparison with previously published work is presented and it found to be in excellent agreement

Effects of Heat and Mass Transfer on MHD Free Convection Flow Near a Moving Vertical Plate of a Radiating and Chemically Reacting Fluid

Изучается задача о нестационарном свободно конвективном МГД-течении и массопереносе вязкой, электропроводной и химически реагирующей несжимаемой жидкости при наличии теплового излучения и под влиянием однородного магнитного поля, приложенного перпендикулярно к бесконечному вертикальному слою, который движется с переменной скоростью. Основной целью данного исследования было рассмотреть влияние теплового излучения, магнитного поля и постоянной химической реакции на параметры течения. Предполагается, чтожидкость является серой, излучающей, поглощающей, но не рассеивающей средой. Решение представленной задачи получено в замкнутой форме с использованием преобразования Лапласа. Приводятся выражения для скорости, температуры, концентрации, поверхностного трения и скоростей изменения тепло и массопереноса. Обсуждаются некоторые интересные физические явления, возникающие при различных типах движения слоя. Полученные результаты также представлены в виде графиков, которые показывают влияние различных параметров и физические аспекты задачи.The problem of unsteady MHD free convection flow and mass transfer of a viscous, electrically conducting and chemically reacting incompressible fluid in presence of thermal radiation and under the influence of uniform magnetic field applied normal to an infinite vertical plate, which moves with time dependent velocity is studied. The primary purpose of this study was to characterize the effects of thermal radiative heat transfer, magnetic field parameter, chemical reaction rate constant etc on the flow properties. The fluid is also assumed to be gray; emitting absorbing but non scattering medium and the optically thick radiation limit is considered. The solutions of the present problem are obtained in closed form by Laplace transform technique and the expressions for velocity, temperature, concentration, skin friction,rate of heat and mass transfer has been obtained. Some important applications of physical interest for different type motion of the plate are discussed. The results obtained have also been presented numerically through graphs to observe the effects of various parameters and the physical aspects of the problem

Simultaneous Effects of Slip Conditions and Wall Properties on MHD Peristaltic Flow of a Maxwell Fluid with Heat Transfer

The effects of both wall slip conditions and heat transfer on the magnetohydrodynamics (MHD) peristaltic flow of a Maxwell fluid in a porous planar channel with elastic wall properties have been studied. Mathe- matical formulation is based upon the modified Darcys law. The analytical solution has been derived for the stream function and temperature under the assumptions of small wave number.The results obtained in the analysis have been discussed numerically and explained graphically.Было изучено влияние условий проскальзывания и теплопереноса на волнообразное магнитогид- родинамическое (МГД) течение максвелловской жидкости в пористом плоском канале с упруги- ми стенками. Математическая формулировка задачи основана на модифицированном уравнении Дарси. Аналитическое решение было получено для функции тока и температуры в предположе- нии малых волновых чисел. Полученные результаты представлены в численной и графической форме

Outlining the impact of melting on MHD Casson fluid flow past a stretching sheet in a porous medium with radiation

This article focused on framing the features of melting heat transfer on magnetohydrodynamic (MHD) Casson fluid flow in a porous medium influenced by thermal radiation. The present model is employed to simulate the viscoelastic behavior of fluid in the porous regime. Firstly, the governing partial differential equations are converted into ordinary differential equations via suitable similarity transformation and then solved the developed nonlinear equations by using Runge-Kutta Fehlberg-45 order method. A detailed analysis of certain parameters on the velocity, temperature, skin friction coefficient, and reduced Nusselt number are illustrated and examined. The results indicate that enlargement in M and Ω decline velocity profile but an opposite trend for temperature. Furthermore, an increment in R and Me results in uphill Nusselt number. The results of the present analysis are compared with the available works in particular situations and more agreement has been observed