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

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

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

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

Unsteady Boundary Layer Flow and Heat Transfer of a Casson Fluid past an Oscillating Vertical Plate with Newtonian Heating

In this paper, the heat transfer effect on the unsteady boundary layer flow of a Casson fluid past an infinite oscillating vertical plate with Newtonian heating is investigated. The governing equations are transformed to a systems of linear partial differential equations using appropriate non-dimensional variables. The resulting equations are solved analytically by using the Laplace transform method and the expressions for velocity and temperature are obtained. They satisfy all imposed initial and boundary conditions and reduce to some well-known solutions for Newtonian fluids. Numerical results for velocity, temperature, skin friction and Nusselt number are shown in various graphs and discussed for embedded flow parameters. It is found that velocity decreases as Casson parameters increases and thermal boundary layer thickness increases with increasing Newtonian heating parameter

The approximation of the solution of wave problems by spectral expansions connected with elliptic differential operators

In this research, we investigate the spectral expansions connected with elliptic differential operators in the space of singular distributions, which describes the vibration process made of thin elastic membrane stretched tightly over a circular frame. The sufficient conditions for summability of the spectral expansions connected with wave problems on the disk are obtained by taking into account that the deflection of the membrane during the motion remains small compared to the size of the membrane and for wave propagation problems, the disk is made of some thermally conductive material

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

Evaluation of grass quality in grazing and ungrazing paddocks in a Buffalo Breeding and Research Centre, Telupid, Sabah, Malaysia

Buffalo production is dependent almost entirely on forages. Thus, adequate nutrition plays important role in the productivity of buffaloes. In Buffalo Breeding and Research Centre, Telupid, Sabah, Malaysia, Signal Grass (Brachiaria decumbens) is fed to buffaloes. Since the growth of the buffalo depends on the nutritional quality of grass provided to them, this study was undertaken to evaluate the nutrient contents of signal grass to determine its quality. In addition, a comparison was made on the nutrient contents between signal grass obtained from the grazing and non-grazing areas. Six grass samples each was obtained from grazing and non-grazing areas. The grass samples were taken using the quadrat and all the samples were air-dried and sent to Universiti Pertanian Malaysia for proximate analysis. The dry matter (DM) and crude protein (CP) were determined. The values of Van Soest Fibre were also determined, to include neutral detergent fibre (NDF), acid detergent fibre (ADF) and acid detergent lignin (ADL). The results revealed that the DM and CP were significant (p<0.05) higher in grass from grazing than non-grazing area. There was also significant (p<0.05) negative correlation between DM and CP contents of signal grass. In conclusion, the grass in grazing area has better nutritive value compared to grass in non-grazing area. In addition, the relationship between DM and CP was inversely related, that is as DM increases CP decreases. The results of the current study could be used to improve the performance of farm and as a reference for future study