Effects of radiation on unsteady three-dimensional boundary layer flow and heat transfer over a permeable axisymmetric shrinking sheet with suction (original) (raw)
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Thermal Science, 2015
In this paper, the effect of radiation on heat transfer in boundary layer flow over an exponentially shrinking sheet is investigated analytically. The similarity transformations are used to transform the partial differential equations to ordinary ones, and an analytical solution is obtained using the homotopy perturbation method. The heat transfer characteristics for different values of the Prandtl number, Eckert number, and radiation number are analyzed and discussed. Finally, the validity of results are verified by comparing with the existing numerical results. Results are presented in tabulated forms to study the efficiency and accuracy of the homotopy perturbation method.
Three dimensional boundary layer flow due to a permeable shrinking sheet with viscous dissipation and heat generation/absorption, has been studied in the present paper. The governing equations are transformed to ordinary differential equations by using suitable similarity transformations and then solved numerically on computer by standard technique. Numerical results of velocity and temperature profiles are obtained with the effects of various parameters involved such as suction, shrinking, Prandtl number, Eckert number and heat generation coefficient etc. and discussed them graphically in suitable manner such that interesting aspects of the solution can be adopted. Also, the comparison of results of two dimensional case and axisymmetric shrinking sheet case is considered.
Indian Journal of Pure & Applied Physics, 2015
In the present paper, an analysis is presented to study the effect of slip and suction on the dual nature of the solution of the three dimensional boundary layer flow of an incompressible fluid and heat transfer towards a porous axisymmetric shrinking sheet. The governing equations are transformed into self-similar non-linear ordinary differential equations by using suitable similarity transformations and then the transformed equations are solved numerically using the shooting technique with Runge-Kutta forth order method. The numerical results of velocity and temperature profiles as well as skin-friction coefficient and Nusselt number are obtained and displayed graphically with different pertinent parameters to show interesting aspects of the solution. The investigation explores the conditions of the non-existence, the existence and duality of the similarity solutions which depend on the suction parameter S as well as slip parameter λ . The dual solutions exist in a certain domain ...
Boundary Layer Flow and Heat Transfer over an Exponentially Shrinking Sheet
Chinese Physics Letters, 2011
An analysis is made to study boundary layer flow and heat transfer over an exponentially shrinking sheet. Using similarity transformations in exponential form, the governing boundary layer equations are transformed into self-similar nonlinear ordinary differential equations, which are then solved numerically using a very efficient shooting method. The analysis reveals the conditions for the existence of steady boundary layer flow due to exponential shrinking of the sheet and it is found that when the mass suction parameter exceeds a certain critical value, steady flow is possible. The dual solutions for velocity and temperature distributions are obtained. With increasing values of the mass suction parameter, the skin friction coefficient increases for the first solution and decreases for the second solution.
journal of modern mechanical engineering and technology, 2017
The aim of this paper is to investigate the effects of thermal radiation and viscous dissipation on unsteady two dimensional viscous and incompressible boundary layer flow and heat transfer from a stretching surface. The governing partial differential equations are transformed into a system of ordinary differential equations by using similarity transformation. The governing equations are solved through the use of Spectral relaxation method. The solution is found to be dependent on the governing parameters including the Prandtl number, unsteadiness parameter, thermal radiation parameter, Eckert number and power law temperature parameter. Flow profiles are presented graphically for various values of the problem parameters.
This paper determines the influence of the radiation and heat transfer on the compressible boundary layer flow using similarity solutions approach. The Roseland approximation is used to describe the radiative heat flux in the energy equation and the compressible boundary layer equations are transformed using Stewartson transformation. Similarity (invariant) solutions for the governing partial differential equations system are constructed. The shooting method is employed to transform the resulting non-linear boundary value problem into initial value problem, which is solved numerically. The effects of various parameters on the velocity and temperature profiles as well as the Falkner skan exponent and Prandtl number are shown graphically.
Physics Letters A, 2008
This Letter endeavours to complete an earlier numerical analysis for flow and heat transfer in a viscous fluid over a sheet nonlinearly stretched by extending the investigation in two directions. On one side, the effects of thermal radiation are included in the energy equation, and, on the other hand, the prescribed wall heat flux case (PHF case) is also analyzed. The governing partial differential equations are converted into nonlinear ordinary differential equations by a similarity transformation. The variations of dimensionless surface temperature as well as flow and heat-transfer characteristics with the governing dimensionless parameters of the problem, which include a nonlinearly stretching sheet, thermal radiation, viscous dissipation and power-law index of the wall temperature parameters, are graphed and tabulated.
The present work is concerned with the effects of variable thermal conductivity and variable Prandtl number on three dimensional magnetohydrodynamic (MHD) incompressible viscous flow of an electrically conducting fluid due to a permeable axisymmetric shrinking sheet in the presence of suction, viscous dissipation, joule heating and heat generation/absorption with two different types of heating process namely (i) the sheet with prescribed surface temperature and (ii) the sheet with prescribed surface heat flux. The governing equations are transformed to ordinary differential equations by using suitable similarity transformations and then solved numerically by shooting technique. Numerical results of velocity profile, temperature profile, skin friction coefficient and Nusselt number are obtained with the effects of various parameters involved such as Suction, Permeability, Magnetic, Thermal conductivity variation, Prandtl number, Eckert number and Heat Generation/ Absorption coefficie...
Journal of Physics: Conference Series, 2017
The laminar boundary layer flow over a permeable flat plat with the presence of thermal radiation and Newtonian heating is numerically studied. The non linear partial differential equations that governed the model are transformed to ordinary differential equations before being solved numerically by Runge-Kutta-Fehlberg (RKF) method using Maple software. The influenced and characteristic of pertinent parameters which are the Prandtl number, the suction/blowing parameter, the thermal radiation parameter and the conjugate parameter are analyzed and discussed. It is found that the presence of thermal radiation and blowing parameter has increased the value of wall temperature. Meanwhile, the trend is contrary with the suction effect.