Increasing Suction Parameter Research Articles

The influence of temperature-dependent variable viscosity and suction on a natural convective heat transfer in magneto generated plume

The study provides novel and valuable insights into the behavior of fluid flow and heat transfer in a generated plume under the influence of an aligned magnetic field, which is a complex and less-explored area in fluid dynamics. Incorporating variable viscosity and suction effects adds to the realism and applicability of the model, as it accounts for more realistic conditions where fluid properties change with temperature and external forces influence the flow. A mathematical model is formulated as a system of coupled partial differential equations to analyze the flow dynamics. Subsequently, a numerical solution is derived with stream function formulation for the system of coupled partial differential equations, which transmuted it into ordinary differential equations. To achieve this, the numerical properties of the problem are established through the utilization of a Shooting method in tandem with the MATLAB tool bvp4c. The graphical representations of both missing and specified boundary conditions, analyzes the influences of the viscosity parameter ε, suction parameter ξ, magnetic force parameter S, Prandtl number Pr and magnetic Prandtl number γ. The impact of these parameters on the heat transfer and fluid flow is given in detail. Inclusion of suction velocity counteracted the effects of temperature-dependent viscosity. The velocity f′, current density ϕ″, temperature θ, skin friction f″ and magnetic flux ϕ′ depicted an enhanced behavior while heat transfer rate θ′ dropped with an increment in viscosity parameter ε. However, for an increasing suction parameter ξ, the reverse trend of these properties is observed as compared to the viscosity parameter ε. The inclusion of suction counteracted to the effects of variable viscosity. Understanding how heat plumes behave under magnetic fields the study aims to provide insights that can be applied to real-world scenarios, such as improving cooling systems in industrial applications, enhancing environmental safety measures, and optimizing biomedical engineering processes.

Dual solutions of a nanofluid flow past a convectively heated nonlinearly shrinking sheet

Effects of magnetic field, convective heating and thermal radiation on the dual solutions and boundary layer separations of nanofluid flow over a nonlinearly shrinking sheet are investigated. Shrinking sheet problems may have applications in polymer technology where one deals with stretching/shrinking of plastic sheets and in metallurgy that involves the cooling of continuous strips. The new type of shrinking sheet flow is essentially a backward flow and it shows physical phenomena quite distinct from the stretching flow case. Governing equations of the problem are reduced to a system of dimensionless equations using similarity transformations. The resulting equations are solved using the well-known shooting method. A comparison between the present solutions and the available data shows a good agreement. Higher volume fraction of nanoparticles causes a decrease in skin friction coefficient and local Nusselt number. The converse is observed for increasing suction parameter. Local Nusselt number is substantially increased by larger shrinking index parameter and Biot number. An increase in suction parameter and magnetic parameter leads to diminish the boundary layer separation and the domain of existence of dual solutions. But the reverse is observed with higher volume fraction of nanoparticles and shrinking index parameter. For increasing nanoparticle volume fraction and decreasing suction parameter the velocity decreases and the temperature increases.

Heat and Mass Transfer of Viscous Fluid in a Permeable Channel with Reabsorbing Walls

An analytical investigation is made to determine the heat and mass transfer mechanism of non-isothermal highly viscous uid in a long narrow porous channel. The walls of the channel are maintained at the same temperature. The mathematical model is developed by using the continuity, momentum, energy and diffusion equations. Analytical solutions are establish to get the expressions of velocity eld, pressure distribution, mass ow rate, wall shear stress, temperature profile, mass concentration distribution as well as the heat transfer rate (Nusselt number) and mass transfer rate (Sherwood number) with involved physical parameters. Numerical results are graphically sketched to describe the role of different parameters involved in the governing equations. It is observed that longitudinal velocity component is higher at the entrance region as compared to middle position and exit region of the channel. Temperature field decreases at the centerline of the channel with increasing suction (reabsorption) parameter. Concentration decreases from surface to the center of the channel and with increasing suction parameter concentration increases. Heat transfer rate decreases while mass transfer rate increases along the channel. With increasing Brinkman number heat transfer increases and its strength at the entrance region is higher than exit region.

Investigation of magneto-hydrodynamic fluid squeezed between two parallel disks by considering Joule heating, thermal radiation, and adding different nanoparticles

Purpose This paper aims to study the impacts of viscous dissipation, thermal radiation and Joule heating on squeezing flow current and the heat transfer mechanism for a magnetohydrodynamic (MHD) nanofluid flow in parallel disks during a suction/blowing process. Design/methodology/approach First, the governing momentum/energy equations are transformed into a non-dimensional form and then the obtained equations are solved by modified Adomian decomposition method (ADM), known as Duan–Rach approach (DRA). Findings The effect of the radiation parameter, suction/blowing parameter, magnetic parameter, squeezing number and nanoparticles concentration on the heat transfer and flow field are investigated in the results. The results show that the fluid velocity increases with increasing suction parameter, while the temperature profile decreases with increasing suction parameter. Originality/value A complete analysis of the MHD fluid squeezed between two parallel disks by considering Joule heating, thermal radiation and adding different nanoparticles using the novel method called DRA is addressed.

Unsteady MHD Free Convective Two Immiscible Fluid Flows in a Vertical Permeable Plate with Heat and Mass Transfer under Chemical Reaction and Heat Source

In this article , the nonlinear Unsteady MHD Free convective Two Immiscible Fluid Flows in a vertical Permeable plate with Heat and Mass Transfer under chemical reaction and Heat source have been studied here. The conservation equations are solved analytically under the boundary conditions by using perturbation technique. The influence of various non dimensional parameters namely, Magnetic parameter, Prandtl number, chemical reaction,, Thermal radiation parameter and Schmidt number are examined on the velocity, Temperature, Concentration fields in detail. It is noted that the velocity is decreased with increasing Heat source under chemical reaction parameter. But increasing suction parameter decreases the velocity

MHD oscillatory flow of a Jeffrey fluid in a vertical porous channel with viscous dissipation

Abstract The aim of this article is to investigate unsteady MHD convective flow in a vertical porous channel with viscous dissipation. The fluid is assumed to be non Newtonian, namely Jeffrey fluid and diffusion-thermo, thermal diffusion effect, suction are also taken into account. The governing coupled partial differential equations of the problem is reduced to ordinary differential equations and then solved by homotopy analysis method (HAM). The velocity, temperature and concentration fields are discussed with different values of involved parameter with the help of graphs. In addition, variations on coefficient of skin friction, heat and mass transfer coefficients are tabulated with different values of pertinent parameters. Comparison is made present solution (HAM) with numerical solution by using NDSolver in Mathematica. A suitable comparison has also been made as a limiting case of the considered problem. It is found that increasing magnetic parameter and suction parameter tends to suppress the fluid velocity while the reverse trend can be seen with material parameter. Thermal parameters are lead to enhance the fluid temperature whereas fluid temperature is decreasing function with increasing inertia coefficient. Volume flow rate decreases continuously with increasing suction parameter while it increases gradually with increasing viscosity parameter. Increasing Grashof number tends to enhance skin friction while increasing magnetic parameter leads to decrease the skin friction at the left wall. Further, increasing Soret number leads to suppress Sherwood number gradually at the left wall whereas mixed behavior can be noticed on Sherwood number distribution at the other wall.

Forced convection of Al2O3–water nanofluid flow over a porous plate under the variable magnetic field effect

In this paper, the effect of variable magnetic field on the forced-convection boundary-layer of MHD Al2O3–water nanofluid flow over a porous nonlinearly stretching flat plate is investigated using Optimal Collocation Method (OCM) and fourth order Runge–Kutta numerical method. This is the first time that CM method is developed for the problems with coupled equations which have infinite boundary condition. Comparison between OCM and numerical method shows that OCM is an exact and high efficient method for solving these kinds of problems. The influence of the nanofluid volume fraction (φ) and magnetic parameter (Mn) on non-dimensional temperature and velocity profiles are investigated. As an important outcome, by increasing Mn number, thermal boundary layer thickness significantly increased but increasing the nanofluid volume fraction hasn’t very sensible effect on it. Also it is understandable that the temperature of the fluid decreases by increasing suction parameter.

Numerical investigation of radiative optically-dense transient magnetized reactive transport phenomena with cross diffusion, dissipation and wall mass flux effects

High temperature electromagnetic materials fabrication systems in chemical engineering require ever more sophisticated theoretical and computational models for describing multiple, simultaneous thermophysical effects. Motivated by this application, the present paper addresses transient magnetohydrodynamic heat and mass transfer in chemically-reacting fluid flow from an impulsively-started vertical perforated sheet. Thermal radiation flux, internal heat generation (heat source), Joule magnetic heating (Ohmic dissipation), thermo-diffusive and diffuso-thermal (i.e. cross-diffusion) effects and also viscous dissipation are incorporated in the mathematical model. To facilitate numerical solutions of the coupled, nonlinear boundary value problem, non-similar transformations are employed and the partial differential conservation equations are normalized into a dimensionless system of momentum, energy and concentration equations with associated boundary thermal conditions. An implicit finite difference method (FDM) is utilized to solve the unsteady equations. Verification of the FDM solutions for dimensionless velocity, temperature and concentration functions is achieved with a variational finite element method code (MAGNETO-FEM) and also a network simulation method code (MAG-PSPICE). The influence of the emerging thermo-physical parameters on transient velocity, temperature, concentration, wall shear stress, Nusselt number and Sherwood number is elaborated. The flow is accelerated with increasing thermal radiative flux, Eckert number, heat generation and Soret number whereas the flow is decelerated with greater wall suction, heat absorption, magnetic field and Prandtl number. Temperatures are also observed to be elevated with magnetic parameter, radiation heat transfer, Dufour number, heat generation (source) and Eckert number with the contrary effects computed for increasing suction parameter or Prandtl number. The species concentration is enhanced with Soret number and generative chemical reaction whereas it is depressed with greater wall suction, Schimidt number and destructive chemical reaction parameter

Unsteady MHD Free Convective Heat and Mass Transfer in a Boundary Layer Flow Past a Vertical Permeable Plate with Thermal Radiation and Chemical Reaction

In this present article, we analyzed the nonlinear unsteady MHD flow of viscous, incompressible and electrically conducting fluid past a vertical porous channel under the influence of thermal radiation and chemical reaction. The transformed conservation equations are solved analytically subject to physically appropriate boundary conditions by using two term perturbation technique. The influence of a number of emerging non-dimensional parameters namely, Magnetic parameter, Prandtl number, Chemical reaction parameter, Thermal radiation parameter and Schmidt number examined in detail. Furthermore, the influence of these parameters on heat transfer rate and skin friction is also investigated. It is observed that the velocity is decreased with increasing chemical reaction parameter. Increasing rarefaction parameter increases the velocity and but increasing suction parameter decreases the velocity. The study is relevant to chemical materials processing applications.

MHD Two-Phase Flow and Heat Transfer between Two Parallel Porous Walls in a Rotating System

The equations describing the two -phase magnetohydrodynamic steady flow and heat transfer through a horizontal channel consisting of two parallel porous walls subject to the action of uniform magnetic field, applied in the direction normal to the plane of flow/axis of rotation are written down, assuming that the magnetic Reynolds number is small. Also, it is assumed that the fluids in the two region s are incompressible, immiscible and electrically conducting, having different viscosities, thermal and electrical conductivities. Further, assumed that the transport properties of the two fluids are constant having constant boundary wall temperatures. Exa ct solutions for velocity and temperature distributions are obtained and are calculated numerically for different values of parameters. The results are presented graphically. We observe that the effect of increasing suction parameter is to increase the tem perature in both phases. Also, as the

Effects of partial slip on chemically reactive solute transfer in the boundary layer flow over an exponentially stretching sheet with suction/blowing

The boundary layer flow and mass transfer toward an exponentially stretching porous sheet are analyzed in this paper. Velocity slip is considered instead of the no-slip condition on the boundary. Self-similar equations are obtained by using similarity transformations. Numerical solutions of these equations are obtained by the shooting method. It is found that the fluid velocity and concentration decrease with increasing slip parameter. The fluid velocity decreases with increasing suction parameter.

Effects of thermal stratification on flow and heat transfer past a porous vertical stretching surface

The aim of this paper is to present the boundary layer flow of viscous incompressible fluid due to a porous vertical stretching surface with a power-law stretching velocity in a thermally stratified medium. Using a special form of Lie group transformations viz. scaling group of transformations, similarity solutions for this problem are obtained. The equations are then solved numerically. With increasing values of the stratification parameter, the velocity as well as temperature decreases. At a particular point of the porous stretching sheet, the velocity decreases with the increasing suction parameter. The dimensionless temperature at a point of the sheet decreases due to suction but increases due to injection. The findings of this study reveal that stratification and suction can be used as means of cooling the boundary layer flow region.

Thermal Radiation Effects on the Mixed Convection Stagnation-Point Flow in a Jeffery Fluid

This study describes the mixed convection stagnation point flow and heat transfer of a Jeffery fluid towards a stretching surface. Mathematical formulation is given in the presence of thermal radiation. The Rosseland approximation is used to describe the radiative heat flux. Similarity transformations are employed to reduce the partial differential equations into the ordinary differential equations which are then solved by a homotopy analysis method (HAM). A comparative study is made with the known numerical solutions in a limiting sense and an excellent agreement is noted. The characteristics of involved parameters on the dimensionless velocity and temperature are also examined. It is noticed that the velocity increases with an increase in Deborah number. Further, the temperature is a decreasing function of mixed convection parameter. We further found that for fixed values of other parameters, the local Nusselt number increases by increasing suction parameter and Deborah number.

UNSTEADY HYDROMAGNETIC NATURAL CONVECTION OF A SHORT-MEMORY VISCOELASTIC FLUID IN A NON-DARCIAN REGIME: NETWORK SIMULATION

A mathematical model for the unsteady magnetohydrodynamic (MHD) laminar natural convection flow of a viscoelastic fluid from an infinite vertical porous plate to an isotropic, homogeneous, non-Darcian porous regime, with time-dependent suction, in the presence of a uniform transverse magnetic field, is studied. The generalized Beard-Walters rheological model is employed, which introduces a mixed third-order derivative into the momentum conservation equation. The transformed conservation equations are solved using the robust, well-tested computational procedure known as network simulation method (NSM). The NSM computations have shown that with an increase in viscoelasticity parameter (S) the flow accelerates considerably with time. Increasing magnetic field (M), however, retards the flow strongly with time. An increase in the Darcy number (Da) serves to augment the velocity (w) profiles, i.e., accelerate the flow in both the conducting (M ≠ 0) and nonconducting (M = 0) cases. Velocities also increase in value over time (τ). A velocity overshoot is identified close to the plate. A rise in the Forchheimer number (Fs), corresponding to an accentuation in the quadratic porous drag effect, induces a strong deceleration in the flow, in particular near the plate surface, for both conducting and nonconducting cases. Increasing buoyancy effects, as simulated via a rise in the thermal Grashof number (Gr), leads to a substantial retardation in the flow; this effect is enhanced with Lorentzian magnetic drag force. An increase in the suction parameter (A) causes a stronger adherence of the hydrodynamic boundary layer to the plate and leads to a reduction in velocities along the entire plate regime. A similar decrease in temperature (θ) is caused with increasing suction parameter (A). The results are of relevance in, for example, magneto-rheological materials processing operations and advanced hybrid magnetohydrodynamic energy systems exploiting non-Newtonian fluids.

Heat and mass transfer analysis for boundary layer stagnation-point flow towards a heated porous stretching sheet with heat absorption/generation and suction/blowing

A similarity analysis is performed to investigate the structure of the boundary layer stagnation-point flow and heat transfer over a stretching sheet in a porous medium subject to suction/blowing and in the presence of internal heat generation/absorption. A scaling group of transformations is applied to get the invariants. Using the invariants, a third and a second order ordinary differential equations corresponding to the momentum and energy equations are obtained respectively. Boundary layer velocity and temperature profiles are determined numerically for various values of the ratio of free stream velocity and stretching velocity, the permeability parameter, suction/blowing parameter, heat source/sink parameter, Prandtl number. It is found that the horizontal velocity increases with the increasing value of the ratio of the free stream velocity ( ax) and the stretching velocity ( cx). The temperature decreases in this case. At a particular point of the porous stretching sheet, the non-dimensional fluid velocity decreases with the increase of the permeability of the porous medium and also with the increasing suction parameter when the free stream velocity is less than stretching velocity whereas fluid velocity increases with the increasing injection parameter. But when the free stream velocity is greater than the stretching velocity the opposite behaviour of horizontal velocity is noticed. The dimensionless temperature at a point of the sheet decreases due to suction but increases due to injection. The temperature at a point is found to decrease with the increasing Prandtl number.

Steady filmwise condensation with suction on a finite-size horizontal flat plate embedded in a porous medium based on Brinkman and Darcy models

The steady filmwise condensation outside a finite-size horizontal plate covered with a thick porous medium layer is investigated numerically by boundary layer approximations and Brinkman model. The fourth-order Runge–Kutta scheme and shooting method are employed to solve numerically the nonlinear ordinary differential equation. The results are presented in terms of the dimensionless average Nusselt number Nu ¯ and the dimensionless condensate thickness δ L ∗ ¯ . It is shown from the results presented that the Nusselt number increases with increasing suction parameter and it is also the function of various parameters, such as Darcy number, Da, Jacob number, Ja, Prandtl number, Pr, modified Rayleigh number for a porous medium, Ra, and permeability parameter, λ 0 . It is also shown that the boundary effect plays an important role for the condensation heat transfer rate in a porous medium.