Values Of Suction Parameter Research Articles

The Thermal Absorption/Generation on Ferro-fluid Combined Convective Flow Over Curvilinear Porous Surfaces

In the influence of fluid buoyancy forces, the ferrofluid combined convective flow in porous curvilinear surfaces is studied with thermal generation/absorption effect. In the ambient flow conditions, the pressure gradient terms and ferrofluid buoyancy forces are replaced by the free steam velocity . The governing equations of the present problem are converted to ODEs by introducing non-dimensional functions and similarity variable. Boundary conditions of first derivative of velocities and temperature of our problem were constructed by the initial value problem, also the unknown initial conditions are found by shooting methods, and then a set of ODEs is solved numerically by the integration scheme of the six-order Range-Kutta method. The results of the solutions are presented graphically of velocity and thermal profiles with the help of MATLAB for different values of suction parameter and heat absorption parameter . Finally, the comparisons of the results highlight the justification of the numerical calculation accepted in the presence study. The problems in curvilinear surface study of boundary layer flow are complicated in fluid mechanics with applications of natural science and engineering.

UNSTEADY FLOW PAST AN OSCILLATORY PLATE IN A ROTATING SYSTEM

An initial value investigation is made of motion of an incompressible, homogeneous, viscous fluid over a porous plate with uniform suction or blowing. Both the plate and the fluid are in state of solid body rotation with constant angular velocity about z- axis normal to the plate and the plate is assumed to be oscillatory with a given velocity. A solution describing the general feature of the unsteady hydrodynamic boundary layer flow in a rotating fluid with suction has been obtained. With the various values of suction parameter we describe the nature of velocity profile against z-axis considering different transformation and boundary conditions are calculated and describe it in graphically. Special attention has been given to the physical interpretation of mathematical results obtained for steady state solution. The significant effect of the suction parameter on the flow phenomenon in this case has been investigated.

Effect of Soret and Dufour numbers on double diffusive mixed convection boundary layer flow induced by a shrinking sheet

The numerical study of double diffusive mixed convection boundary layer flow over a shrinking sheet are presented in the presence of Soret and Dufour effects. Shrinking velocity, wall temperature and wall concentration are assumed to have exponential function forms. Non-similarity method is applied for the governing basic equations (flow, momentum, energy and concentration equations) before they are solved numerically using bvp4c program in Matlab software. The numerical results of velocity, temperature and concentration are reported graphically for various values of suction parameter, dimensionless coordinate along the plate parameter, shrinking parameter, mixed convection parameter, buoyancy ratio parameter, Soret parameter and Dufour parameter. Since dual solutions is obtained, stability analysis is performed to select the stable solution.

Heat and mass transfer characteristics of MHD three-dimensional flow over a stretching sheet filled with water-based alumina nanofluid

PurposeThis paper aims to understand the influence of velocity slip, nanoparticle volume fraction, chemical reaction and non-linear thermal radiation on MHD three-dimensional heat and mass transfer boundary layer flow over a stretching sheet filled with water-based alumina nanofluid. To get more meaningful results, the authors have taken nonlinear thermal radiation in the heat transfer process.Design/methodology/approachSuitable similarity variables are introduced to convert governing partial differential equations into the set of ordinary differential equations, and are solved numerically using a versatile, extensively validated finite element method with Galerkin’s weighted residual simulation. The velocity, temperature and concentration profiles of nanoparticles as well as skin friction coefficient, Nusselt number and Sherwood number for different non-dimensional parameters such as volume fraction, magnetic, radiation and velocity slip parameters as well as the Prandtl number are examined in detail, and are presented through plots and tables.FindingsIt is noticed that the rate of heat transfer enhances with higher values of nanoparticle volume fraction parameter. It is worth mentioning that the heat transfer rates improve as the values of increase. Increasing values of M, R, θw and β decelerates the thickness of the thermal boundary layer in the fluid regime. The heat transfer rates decelerate as the values of suction parameter increase.Originality/valueThe authors have written this paper based on the best of their knowledge on heat and mass transfer analysis of nanofluids. The information in this paper is new and not copied from any other sources.

Peristaltic transport of a viscous fluid in a porous channel with suction and injection

The Peristaltic transport of a viscous fluid in a channel with suction and injection is investigated in the present work. The mathematical modeling has been carried out under long wavelength and low Reynolds number approximation. The analytical solution for velocity field pressure gradient, frictional force and stream function in the wave frame of reference is obtained. The pressure rise and frictional force over one wavelength are obtained. The effect of different parameters on pumping characteristics and frictional forces is discussed graphically. It is observed that pressure rise decreases with increasing permeability parameter and increases with increasing amplitude. It is also observed that for various values of suction parameter k, the pumping curves coincide at a point in the first quadrant due to the suction or injection in the channel. The frictional forces illustrate the opposite behavior compared to pressure rise. The trapping phenomenon for different parameters is presented graphically.

Unsteady Flow and Heat Transfer in a Viscous Incompressible Fluid due to the Oscillations of a Porous Cylinder with Suction

Navier-Stokes equations which described the unsteady flow of viscous incompressible fluid a around a porous infinite circular cylinder oscillating harmonically with constant suction are integrated using Laplace transform. Curves have been drawn of the steady state part of the velocity both for suction and without suction case and it is found that for each value of suction parameter a situation which does not exist in the case of rotating cylinder. The energy equation has also been solved and the solutions are given for large and small values of time.

MHD Flow, and Heat Transfer with Effects of Buoyancy, Viscous and Joules Dissipation over a Nonlinear Vertical Stretching Porous Sheet with Partial Slip

In this paper, the problem of steady laminar two-dimensional boundary layer MHD flow and heat transfer of an incompressible viscous fluid with the presence of buoyancy force and viscous dissipation over an vertical nonlinear stretching sheet with partial slip is investigated numerically. Numerical solutions of the resulting nonlinear boundary value problem in the case when the sheet stretches with a velocity varying nonlinearly with the distance is carried out. The effects of for various values of suction parameter, magnetic parameter, Prandtl number, Eckert number, buoyancy parameter, nonlinear stretching parameter and slip parameter on flow and heat transfer characteristics is investigated.

Effects of Viscous and Joules Dissipation on MHD Flow, Heat and Mass Transfer past a Stretching Porous Surface Embedded in a Porous Medium

This paper investigates the influence of both viscous and joules dissipation on the problem of magnetohydrodynamic flow past a stretching porous surface embedded in a porous medium. Analytic solutions of the resulting nonlinear non-homogeneous boundary value problem in the case when the plate stretches with a velocity varying linearly with distance, expressed in terms of confluent hypergeometric functions, are presented for the case of prescribed surface temperature. Numerical calculations have been carried out for various values of suction parameter, magnetic field, Prandtl number, Eckert number and Schmidt number. The results show that increases in magnetic parameter decrease both the dimensionless transverse velocity, longitudinal velocity and also the skin friction coefficient. Also, formation of thin boundary layer is observed for higher value of magnetic parameter.

The effect of surface mass transfer on mixed convection flow past a heated vertical flat permeable plate with thermophoresis

The present investigation deals with the effect of surface mass flux on mixed convective flow past a heated vertical flat permeable plate with thermophoresis. A nonuniform surface mass flux through the permeable surface has been considered. The governing equations, reduced to local nonsimilarity boundary layer equations using suitable transformations, have been integrated employing an implicit finite difference method together with the Keller-box technique (Keller [Annual Rev. Fluid Mech. 10 (1978) 417–433]). Perturbation techniques are employed to obtain the solutions near the leading edge as well as far from it. The perturbation solutions are compared with the finite difference solutions and found to be in excellent agreement. For fluids having the Prandtl number Pr=0.7 and Schmidt number Sc=10.0, numerical values of physical quantities, such as the local skin-friction coefficient, the local Nusselt number and the local Stanton number, are presented in tabular form for different values of the thermophoretic parameter τ against the local buoyancy parameter ξ for impermeable surfaces. Profiles of the dimensionless velocity, temperature and concentration distributions as well as the local skin-friction coefficient, local Nusselt number and the local Stanton number are shown graphically for various values of suction parameter, f w , Schmidt number, Sc and the thermophoretic parameter τ.

Flow and heat transfer in a micropolar fluid past a flat plate with suction and heat sources

The laminar boundary layer flow of a micropolar fluid past a flat plate subject to uniform suction has been examined. The heat transfer study has been made in the presence of both constant as well as temperature dependent heat sources. The governing equations of momentum, first stress momentum and energy have been solved using numerical integration and Gauss-Seidel iterative procedure. For a particular value of suction parameter λ, as compared to the Newtonian fluid, the velocity decreases on increasing the value of micropolar parameter R. The skin friction and the Nusselt number have been calculated and presented in tables.

Effects of large suction in natural convection boundary layer on a horizontal plate

The natural convection boundary layer on a horizontal plate with suction is investigated. The similar solutions of the boundary layer equations require suction to vary as a power law. The similarity equations have been integrated for various values of suction parameter and Prandtl number σ=0.72 and 6.8. For non-similar flow situation, a large suction approximation has been developed using the asymptotic approach. It is shown that large suction approximation is surprisingly good even for moderate values of suction parameter.

Numerical solution of heat transfer in micropolar fluid flow in a channel with porous walls

Using the basic equations of heat conducting micropolar fluid, heat transfer through a channel of porous walls has been studied. The temperature distribution is obtained for different values of suction parameter S, convective parameter E and micropolar parameter R.

Hydromagnetic Flow Due to a Rotating Disc Subjected to Large Suction

The flow of an electrically conducting liquid due to a porous rotating disc is discussed for the case a uniform magnetic field acts perpendicular to the disc. The solution valid for large values of suction parameter and small magnetic Reynolds number shows that the qualitative behaviour of a magnetic field is similar to that of suction. It is also found that the torque experienced by the disc increases with the increase in the magnetic field.

On Incompressible Laminar Boundary Layer, with Pressure Gradient and with or without Suction

AbstractThe various flow characteristics of accelerating and decelerating flows over a plate with or without suction have been studied using fourth degree velocity profiles satisfying one or two boundary conditions on the plate. In the case of lineary varying outer velocity distribution, the equation determining the boundary layer thickness has been integrated in the closed form for various values of suction parameter. The results for no suction have been compared with those of Görtler [1].