Presence Of Constant Heat Flux Research Articles

Effect of radiation absorption and chemical reaction on MHD‐free convective flow through a porous medium past an infinite vertical porous plate in the presence of constant heat flux

AbstractAn incompressible, electrically conducting, and viscous fluid flowing steadily and freely across a uniformly porous media that is partially constrained by an infinitely long vertical porous plate is studied in the present article. Additionally, chemical reaction and radiation absorption effects are seen. Here, a magnetic field of uniform strength is applied transversely to the plate, a normal suction velocity is imposed on the fluid, and the heat flux is considered to be constant. The non‐dimensional momentum and energy equations are solved using the method of perturbation. The problem has been analytically resolved, and several parameters, including the Hartmann number, porosity parameter, thermal Grashof number, mass Grashof number, and transport properties like the Sherwood number, skin friction, and plate temperature, are graphically represented. The current study reveals a spike in the radiation absorption effect causes skin friction to drop, but on the other hand, a contrary effect is observed for plate temperature. One of the notable findings of this investigation is that the Sherwood number increases as chemical reaction parameter influence increases.

Ferrofluid treatment with insertion of electric field inside a porous cavity considering forced convection

The electro-hydrodynamic (EHD) ferrofluid flow through a porous square shaped enclosure is simulated with different shapes of nanomaterial in the presence of constant heat flux. The flow is governed by coupled partial differential equations and is simulated with the well-established computational technique of control volume finite element method (CVFEM). The effects of the enhancing medium permeability and electric field strength on the flow are displayed through contour plots of streamlines and isotherms. The calculations are performed for different governing parameters namely, porosity, applied electric field , radiation effect , and nanomaterial shape factor over the Nusselt number . It is found that the medium augmenting permeability depreciates the ferrofluid streaming in the absence as well as in the presence of the applied electric field. The temperature of the ferrofluid augments with the medium increasing porosity in the absence of an external electric field, while an opposite effect is observed on the temperature in the presence of the electric field. The enhancement in the medium porosity makes the ferrofluid flow more regular in the absence as well as in the presence of an external electric field.

Influence of Angle of Inclination on Unsteady MHD Casson Fluid Flow Past a Vertical Surface Filled by Porous Medium in Presence of Constant Heat Flux, Chemical Reaction and Viscous Dissipation

Influence of Angle of Inclination on Unsteady MHD Casson Fluid Flow Past a Vertical Surface Filled by Porous Medium in Presence of Constant Heat Flux, Chemical Reaction and Viscous Dissipation

Numerical Solution for Variable Viscosity and Internal Heat Generation Effects on Boundary Layer Flow Over an Exponentially Stretching Porous Sheet with Constant Heat Flux and Thermal Radiation

AbstractA numerical study has been carried out to analyze the constant heat flux, internal heat generation, variable viscosity and thermal radiation effects on the flow and heat transfer of a Newtonian fluid over an exponentially stretching porous sheet. Using a similarity transformation, the governing partial differential equations are transformed into coupled, non-linear ordinary differential equations with variable coefficients. Numerical solutions to these equations subject to appropriate boundary conditions are obtained by using an efficient Chebyshev spectral method. The effects of various physical parameters such as viscosity parameter, the suction parameter, the radiation parameter, internal heat generation or absorption parameter and the Prandtl number on velocity and temperature are discussed by using graphical approach. Moreover, numerical results indicate that in the presence of constant heat flux, the skin-friction coefficient as well as Nusselt number is strongly affected by the viscosity parameter, suction parameter, radiation parameter and the internal heat generation parameter.

HAM and DQM solutions for slip flow over a flat plate in the presence of constant heat flux

In this paper, an analytical solution for boundary layer flow over a flat plate with slip flow and constant heat flux surface condition has been presented for the first time. The Navier–Stokes and energy equations are reduced by a similarity transform in order for a set of nonlinear ordinary differential equations to be formed. Then, governing equations will be solved analytically by using a kind of analytic technique for nonlinear problems which has been named the homotopy analysis method (HAM). The obtained results of this study have been compared with the results of differential quadrature method (DQM) as a promising numerical method. Very good agreement has been shown between analytical results and those obtained by DQ. Finally, effects of the Prandtl number and rarefaction parameter K on velocity and temperature profiles are investigated.

Stability of narrow-gap MHD Taylor-Couette flow with radial heating and constant heat flux at the outer cylinder

A linear stability analysis has been presented for hydromagnetic dissipative Couette flow, a viscous electrically conducting fluid between rotating concentric cylinders in the presence of a uniform axial magnetic field and constant heat flux at the outer cylinder. The narrow-gap equations with respect to axisymmetric disturbances are derived and solved by a direct numerical procedure. Both types of boundary conditions, conducting and non-conducting walls are considered. A parametric study covering on the basis of ?, the ratio of the angular velocity of the outer cylinder to that of inner cylinder, Q, the Hartmann number which represents the strength of the axial magnetic field, and N, the ratio of the Rayleigh number and Taylor number representing the supply of heat to the outer cylinder at constant rate is presented. The three cases of ? < 0 (counter rotating), ? > 0 (co-rotating) and ? = 0 (stationary outer cylinder) are considered wherein the magnetic Prandtl number is assumed to be small. Results show that the stability characteristics depend mainly on the conductivity on the cylinders and not on the heat supplied to the outer cylinder. As a departure from earlier results corresponding to isothermal as well as hydromagnetic flow, it is found that the critical wave number is strictly a monotonic decreasing function of Q for conducting walls. Also, the presence of constant heat flux leads to a fall in the critical wave number for counter rotating cylinders, which states that for large values of -?, there occur transition from axisymmetric to non-axisymmetric disturbance whether the flow is hydrodynamic or hydromagnetic and this transition from axisymmetric to non-axisymmetric disturbance occur earlier as the strength of the magnetic field increases.

Effects of mass transfer on the transient free convection flow of a dissipative fluid along a semi-infinite vertical plate with constant heat flux

Effect of mass transfer on the transient free convection flow of a dissipative fluid along a semi-infinite vertical plate in presence of constant heat flux, is studied by solving coupled non-linear system of partial differential equations, using Crank–Nicolson technique which is stable and convergent. Transient temperature, concentration and velocity profiles, local and average skin-friction, Nusselt number and Sherwood number are shown graphically for air. The effects of ε, viscous dissipative parameter, Schmidt number, buoyancy ratio parameter on the transient state are discussed.

Effect of radial temperature gradient on the Stability of flow in an annulus with constant Heat flux at the inner cylinder: wide-gap Problem

An exact numerical solution is given to the eigenvalue problem of stability of Couette flow in a wide-gap region bounded by two concentric cylinders in the presence of constant heat flux at the inner cylinder. Numerical values of a c (the critical wave number) and T c (the critical Taylor) are calculated for different values of ±μ(=Ω 2/Ω 1) and η (=R 1/R 2) where Ω 1, Ω 2 are the angular velocities of the inner and outer cylinders of radii R 1, R 2 respectively. It is observed that the presence of radial temperature gradient enhances the stability of the flow, and with a decrease in the gap-width, the flow becomes less stable. In the presence of counter-rotating flow, the flow becomes more stable due to the presence of a radial temperature gradient.

Effects of suction and free convection currents on the oscillatory flow past an infinite vertical porous plate with constant heat flux

Two-dimensional flow analysis of an incompressible, viscous fluid past an infinite porous vertical plate, in the presence of constant heat flux, has been presented. the effects of suction, free convection currents and free-stream oscillations have been considered and approximate solutions to the coupled non-linear equations have been derived in case of small amplitude oscillations. the solutions are derived for the mean velocity, the mean plate temperature, the mean skin-friction, the transient velocity, the transient temperature, the amplitude and phase of the skin-friction, and the first and second harmonics of the plate temperature. Velocity and temperature fields have been shown graphically whereas the numerical values of the other physical quantities are given in tabular form. During the course of discussion, the effects of γ (suction parameter), G(the Grashof number), E (Eckert number), P (Prandtl number and ω (frequency) have been discussed.