Boundary Layer Flow Due To A Moving Flat Plate In Micropolar Fluid

The mathematical model for a boundary layer flow due to a moving flat plate in micropolar fluid is discussed. The plate is moving continuously in the positive x-direction with a constant velocity. The governing boundary-layer equations are solved numerically using an implicit finite-difference scheme. Numerical results presented include the reduced velocity profiles, gyration component profiles and the development of wall shear stress. The results obtained, when the material parameter K = 0 (Newtonian fluid) showed excellent agreement with those for viscous fluids. Further, the wall shear stress increases with increasing K. For fixed K, the wall shear, stress decreases and the gyration component increases with increasing values of n, in the range 0>n>1 where n is a ratio of the gyration vector component and the fluid shear stress at the wall

Effects of Newtonian Heating and Inclined Magnetic Field on Two Dimensional Flow of a Casson Fluid over a Stretching Sheet

It is known that the Navier-Stokes equations cannot describe the behaviour of fluids having high molecular weights. Due to the variety of such fluids it is very difficult to suggest a single constitutive equation which can describe the properties of all non-Newtonian fluids. Therefore many models of non-Newtonian fluids have been proposed. In this study, the steady two dimensional heat and mass transfer flow of a non-Newtonian Casson fluid over a linear stretching sheet in presence of an inclined magnetic field and radiation effects are considered. The sheet is subjected to Newtonian heating as well as convective boundary conditions. The governing partial differential equations are transformed to nonlinear ordinary differential equation by using similarity transformation. The solutions of these simplified coupled nonlinear equations are calculated using an analytical technique. The effects of various parameters on velocity, temperature and concentration profiles are presented through graphs and discussed

Numerical Solutions of the Stagnation-Point Flow and Heat Transfer Towards An Exponentially Stretching/ Shrinking Sheet with Constant Heat Flux

The steady stagnation point flow and heat transfer towards an exponentially stretching/shrinking sheet with constant heat flux is investigated in this paper. The transformed governing nonlinear boundary layer equations are solved numerically by using Runge-Kutta-Fehlberg method. Numerical solutions are obtained for the local wall temperature, local skin-friction coefficient as well as velocity and temperature profiles. The features of the flow and heat transfer characteristics for different values of the stretching/shrinking parameter and the Prandtl number are analyzed and discussed

Slip Effects on Unsteady Free Convective Heat and Mass Transfer Flow with Newtonian Heating

This article investigates the effects of slip condition on free convection flow of viscous incompressible fluid past an oscillating vertical plate with Newtonian heating and constant mass diffusion. The governing equations together with imposed initial and boundary conditions are solved using the Laplace transform technique. The results for velocity, temperature and concentration are obtained and plotted for the embedded parameters. The results for skin friction, Nusselt number and Sherwood number are computed in table. It is investigated that the presence of slip parameter reduces the fluid velocity

On the equiconvergence of the spectral decomposition of the distributions connected with elliptic differential operators on the torus with fourier integral

The problems of engineering sciences can be modelled using equations of mathematical physics. Mathematical models for many systems that are encountered in engineering, physics, and other applied sciences are often developed by applying various laws that describe the conservation of mass, momentum, and energy. These models are usually given as a single or set of ordinary or partial differential equations along with appropriate initial and boundary conditions which apply over the rectangular region. Solution of these equations using appropriate analytical methods provides local numerical values for the dependent variables of interest, such as fluid velocity, pressure, species concentration, temperature, force and electric potential

Exact Solutions of Accelerated Flows for a Generalized Burgers' Fluid, I: The Case

An analysis is presented to develop the exact solutions for the accelerated flows of a generalized Burgers' fluid when the relaxation time satisfying the condition 2 /4 . The corresponding expressions for the velocity field and associated tangential stress are obtained by using Laplace transform for the problems of flow induced by constantly accelerated plate. The obtained solutions are presented through simple or multiple integrals in terms of Bessel functions. The corresponding solutions for Burgers' fluid are recovered as special case of the solutions obtained here

Mathematical Formulation to Study the Thermal Post Buckling of Orthotropic Circular Plates

simple mathematical formulation to evaluate the post buckling load of orthotropic circular plates with both simply supported and clamped boundary conditions are presented in this paper. The formulation is on the basis of radial edge tensile load developed in the plate because of the large deflection of the plate. The numerical results achieved from the present formulation in terms of linear buckling load parameters for different orthotropic parameter values are compared with the results from the literature

Numerical Investigation Of Stagnation Point Flow Over a Stretching Sheet With Convective Boundary Conditions

In this study, the mathematical modeling for stagnation point flow over a stretching surface with convective boundary conditions is considered. The transformed boundary layer equations are solved numerically using the shooting method. Numerical solutions are obtained for the skin friction coefficient, the surface temperature as well as the velocity profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number, stretching parameter and conjugate parameter are analyzed and discussed

The approximation of the solution of heat conduction problem in circular plate with concentrated initial heat

Many problems of the engineering sciences can be solved using the modern methods of equations of mathematical physics, particularly elliptic differential equations play essential role in solving heat and mass transfer problems in engineering processes. In this paper, a numerical approximation of the solution of heat conduction problem in circular plate with initial concentrated heat is constructed by using the Riesz means of the spectral decompositions. Solution of heat transfer problems are subjected to the distributional boundary conditions and initial conditions

On the equiconvergence of the spectral decomposition of the distributions connected with elliptic differential operators on the torus with Fourier integral

In this paper, we deal with the problems of the expansions of the periodic distributions. We obtained sufficient conditions for the equiconvergence of the spectral decompositions of the distributions connected with the elliptic differential operator on the torus with Fourier integral in the classes of the Sobolev