Heat Transfer Of Viscous Fluid Research Articles

Dual solution of MHD mixed convection flow and heat transfer over a shrinking sheet subject to thermal radiation

In this paper, the steady-state two-dimensional incompressible, magnetohydrodynamics, stagnation point flow and heat transfer of viscous fluid having mixed convection over the linearly shrinking porous sheet is studied. The governing non-linear partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) by exercising the pertinent similarity variables. Numerical results are obtained by using the bvp4c solver in MATLAB to solve the resulting ODEs. The dual solution is obtained for a certain range of shrinking and mass suction parameters. The resulting dual solution projects that local skin friction coefficient and Nusselt number escalates in the upper branch solution and decelerates in the lower branch solution with the increase in the mass suction and magnetic parameter. However, the heat transfer rate is diminishing in both the upper and lower branch solutions due to an escalation of the radiation parameter. In addition, temporal stability analysis has been performed by which the upper branch solution is physically trustworthy and stable while the lower branch solution is not physically stable (unstable).

Heat transfer of viscous fluid in a vertical channel sandwiched between nanofluid porous zones

Mixed convection in vertical parallel channels is analyzed with the viscous fluid sandwiched between nanofluids within porous material filled in a vertical channel. The concept of single-phase transport of nanofluids is employed to define the nanofluid flow and heat transfer and the Darcy approach is incorporated to describe the circulation within the porous material. Formulated ordinary differential equations which are non-linear and coupled along with the corresponding boundary and interface conditions are solved by the regular perturbation method. The main objective is to investigate the effects of the Grashof and Brinkman numbers, solid volume fraction, porous parameter on the velocity and temperature fields. Results are shown in the graphical and tabular form. The physical characteristics governing the flow such as skin friction and rate of heat transfer are also investigated considering five different materials of nanoparticles.

Flow of a Nanofluid and Heat Transfer in Channel With Contracting/Expanding Walls

In this paper, we have investigated the effects of nanoparticles on the flow and heat transfer of viscous fluid in a deformable porous channel. The mathematical model used for the nanofluid is Buongiorno model, which combines the Brownian diffusion and thermophoresis effects. Water is used as a base fluid. Mathematically, the problem is formulated for the flow of nanofluid generated by the expanding/contracting walls of the channel and an analytic solution using homotopy analysis method for the field quantities is presented. The numerical results are also calculated using parallel shooting method. A comparison is made of the analytic results with the numerical one to ensure the correctness of the analytic results. The effects of Brownian and thermophoresis diffusion due to nanoparticles and effect of deformation of boundaries on various physical quantities are analyzed. It is observed that the velocity is higher for expansion of the nanoparticles as compared to contraction. Also the nanoparticles increases the heat flux and decreases the mass flux. The concentration flux is higher for thermophoretic diffusion in the expanding channel.

On The Effect of Nanofluid Flow and Heat Transfer with Injection through an Expanding or Contracting Porous Channel

The studies of the behavior of fluid on the nano-level has shown to be an important means of influencing the characteristic of fluid must especially in the area of thermal conductivity. Giving relevance in numerous fields such as biomedicine, manufacturing, fuel cells and soon on. This article considers flow and heat transfer of viscous fluid conveying Gold nanoparticles through expanding or contracting porous channel with injection. The nanofluid is described by the high order coupled nonlinear equations of the fourth order which is analyzed utilizing the regular perturbation method whose analytical solutions is adopted in describing the effect of various thermal-fluidic parameters such as Reynolds number and temperature power index. Where results reveals that increasing Reynolds causes an increasing velocity distribution while increasing temperature power index demonstrates decreasing temperature effect. Also comparison of obtained analytical solution against numerical solution shows satisfactory agreement. Study provides good advancement to applications such as fluid transport, power plant operations and manufacturing amongst others.

Influence of Joule Heating and Viscous Dissipation on MHD Flow and Heat Transfer of Viscous Fluid in Converging/Diverging Stretchable Channels

Influence of Joule Heating and Viscous Dissipation on MHD Flow and Heat Transfer of Viscous Fluid in Converging/Diverging Stretchable Channels

On heat transfer analysis of axisymmetric flow of viscous fluid over a nonlinear radially stretching sheet

This article deals with the exact solutions regarding heat transfer of viscous fluid over a non-linear radially stretching sheet. The effects of viscous dissipation on the heat transfer characteristics are considered in account in the presence of a transverse magnetic field for two types of boundary heating process namely prescribed power law surface temperature (PST) and prescribed heat flux (PHF). Similarity transformations are used to reduce the governing non-linear momentum and thermal boundary layer equations into a set of ordinary differential equations. The exact solutions of the reduced ordinary differential equations are developed in the form of confluent hypergeometric function and graphically sketched to see the influence of pertinent parameters on the temperature profiles. In addition the results for the wall temperature gradient (Nusselt number) are also presented in graphical form and discussed in detail. It is found that Prandtl number decelerates the temperature profiles in both PST and PHF cases. Thermal boundary layer thickness increases by increasing the Eckert number.

Numerical investigation of magnetic field effects on entropy generation in viscous flow over a stretching cylinder embedded in a porous medium

The impact of presence of magnetic field on entropy generation in flow and heat transfer of viscous fluid over a horizontal stretching cylinder embedded in a porous medium has been theoretically studied. The problem is modeled mathematically and the governing partial differential equations are converted into non-linear differential equations by using suitable similarity transformations. Numerical solution of the transformed equations is obtained using the matlab built-in routine bvp4c. The velocity profiles, temperature distribution, local entropy generation number and Bejan number are plotted for various values of magnetic field parameter, curvature parameter, permeability parameter, Prandtl number, Eckert number, temperature exponent and group parameter. Moreover, the effects of these pertinent parameters on skin friction coefficient and local Nusselt number are also presented through tables. A brief discussion has been given about the impact of these physical parameters on thermo-physical properties.

Analysis of entropy generation effects in flow and heat transfer of viscous fluid through a porous medium between two radially stretching surfaces

The present paper examines the entropy effects in flow and heat transfer of viscous fluid in a porous medium between two infinite radially stretching surfaces. With the aid of suitable similarity transformations, the partial differential equations describing the flow and heat transfer phenomenon are converted into nonlinear ordinary differential equations. Analytical and numerical solutions of these equations are obtained using homotopy analysis method and shooting technique with Runge Kutta Fehlberg method. The effects of various dimensionless parameters such as permeability parameter K, Reynolds number Re, Prandtl number Pr and Brinkman number Br on flow and heat transfer characteristics as well as on entropy generation are discussed in detail through graphs and tables.

Investigation of entropy generation effects in magnetohydrodynamic three-dimensional flow and heat transfer of viscous fluid over a stretching surface

In this study, entropy generation effects in three-dimensional flow and heat transfer of an electrically conducting fluid over a stretching sheet have been investigated. The effects of viscous dissipation are also taken into consideration. The partial differential equations that govern the flow and thermal fields are transformed into non-linear ordinary differential equations by using suitable similarity transformations. The converted equations are then solved analytically with the help of homotopy analysis method and numerically by using shooting technique with Runge–Kutta–Fehlberg method. The values computed by both the methods are compared with a previous study under limiting case. The influence of pertinent parameters involved in the considered problems on flow and heat transfer characteristics are shown with the aid of tables and graphs. Moreover, the effects of these parameters on entropy generation are also illustrated.

Nanoparticle effect over the boundary layer flow over an exponentially stretching cylinder

This study provides an analysis of the nanoparticle effects over the steady boundary layer flow and heat transfer of viscous fluid flowing over a vertical cylinder that is stretched along its axial direction. The system of nonlinear partial differential equations associated with the problem along with the appropriate boundary conditions is nondimensionalized by means of the boundary layer estimates and invoking a suitable similarity transformation. The resulting nonlinear coupled system of ordinary differential equations subject to the appropriate boundary conditions is solved through the Runge–Kutta–Fehlberg numerical scheme. A comparison of the obtained numerical results is also presented with the help of homotopy analysis method. At the end, effects of the allied physical features for the flow, heat transfer and nanoparticle concentration profiles are also discussed.

Lie group analysis of flow and heat transfer over a stretching rotating disk

The present paper discusses steady three dimensional flow and heat transfer of viscous fluid on a rotating disk stretching in radial direction. Using Lie group theory symmetries of the governing equations are calculated. Imposing restrictions from the boundary conditions it is shown that the similarity in the problem can be achieved for two types of radially stretching velocities namely; linear and power-law. Linear stretching has already been discussed in the literature; however power-law stretching is discussed here for the first time. Using new similarity transformations, the governing partial differential are transformed into a system of ordinary differential equations which are later treated both analytically and numerically. Exact analytical solutions are found for the case of pure stretching and the large stretching parameter case, for power-law stretching index n=3. Numerical solutions are obtained for combined effects of stretching and rotation for all values of n using Keller box method. Comparison of numerical solution with the corresponding analytical solution (for n=3) shows an excellent agreement. The quantities of physical interest, such as azimuthal and radial skin friction and also Nusselt number are presented and discussed physically.

Homotopy analysis method for the asymmetric laminar flow and heat transfer of viscous fluid between contracting rotating disks

The present work investigates the effects of the disks contracting, rotation, heat transfer and different permeability on the viscous fluids and temperature distribution between two heated contracting rotating disks. Two cases are considered. For the first case, we neglect the viscous dissipation effects in the energy equation and reduce the Navier–Stokes equations and energy equation into nonlinear coupled ODEs by introducing the Von Kármán type similarity transformations. The effects of various physical parameters like expansion ratio, Prandtl number, Reynolds number and rotation ratio on the velocity and temperature are discussed in detail. The second and more general case is that we consider the viscous dissipation in the energy equation. Under this assumption, the energy equation is reduced to a ordinary differential equation including the Eckert number, whose solution also is solved by HAM.

Analysis of flow and heat transfer of viscous fluid between contracting rotating disks

The present work investigates the effects of disks contracting, rotation and heat transfer on the viscous fluid between heated contracting rotating disks. By introducing the Von Kármán type similarity transformations through which we reduced the highly nonlinear partial differential equation to a system of ordinary differential equations. This system of differential equations with appropriate boundary conditions is responsible for the flow behavior between large but finite coaxial rotating and heated disks. It is important to note that the lower disk is rotating with angular velocity Ω while the upper one with SΩ, the disks are also contracting and the temperatures of the upper and lower disks are T 1 and T 0, respectively. The agents which driven the flow are the contraction and also the rotation of the disks. On the other hand the velocity components and especially radial component of velocity strongly influence the temperature distribution inside the flow regime. The basic equations which govern the flow are the Navier Stokes equations with well known continuity equation for incompressible flow. The final system of ordinary differential equations is then solved numerically with given boundary conditions. In addition, the effect of physical parameters, the Reynolds number (Re), the wall contraction ratio ( γ) and the rotation ratio ( S) on the velocity and pressure gradient, as well as, the effect of Prandtl number (Pr) on temperature distribution are also observed.

Approximate Solution for Heat Transfer of Viscous Fluid

In a previous paper the author applied Asao's approximate solution to the heat transfer characteristics of rayon viscose solution to derive a more simplified relation by ignoring orders higher than the δ-term (boundary layer of temperature).The author has assumed in this investigation that temperature distribution comes to the 2 nd degree equation of the distance from the pipe wall and that velocity distribution comes close to the 3 rd degree equation whithin the thermal boundary layer and the (n+1) th degree equation at the outside of the thermal boundary layer.A fundamental equation has been solved by assuming that the viscosity of viscous fluid varies only with temperature and that other properties are constant.By introducing a corrective constant approximate solutions were obtained, whose results were summarized in Table 3.The results obtained in the present paper showed a fairly good agreement with those of other investigators in the range of 104>Gz>102.