Joule Heating Dissipation Research Articles

On the convective heat and zero nanoparticle mass flux conditions in the flow of 3D MHD Couple Stress nanofluid over an exponentially stretched surface

Three dimensional problems reflect more imperative understanding to real world issues in comparison to two dimensional problems. Keeping this fact in mind, a mathematical model is designed to deliberate the 3D magnetohydrodynamic couple stress nanofluid flow with joule heating and viscous dissipation effects past an exponential stretched surface. The analysis is performed keeping in mind the physical effects of Brownian motion and thermophoresis combined with convective heat condition. This paper also distinctly introduces a more realistic boundary constraint for nanoliquid flow model. For instance, zero mass flux condition has been instituted for the first time for 3D couple stress nanofluid model as far as the exponential stretched surface is concerned. Self-similar transformations are engaged to obtain a system of ordinary differential equations possessing high nonlinearity from the system of boundary layer partial differential equations. Analytic solution is constructed in the form of series using Homotopy Analysis Method (HAM). Numerically calculated values of Skin friction and local Nusselt number are also given with suitable analysis. Moreover, the influences of sundry parameters on velocity distribution, and heat and mass transfer rates are deliberated and depicted through relevant graphs. The results obtained clearly show that the Biot number and Hartmann number possess increasing effect on temperature distribution. To authenticate our obtained results, a comparison in limiting case is also given.

Entropy generation analysis of magneto-nanoliquids embedded with aluminium and titanium alloy nanoparticles in microchannel with partial slips and convective conditions

PurposeOutstanding features such as superior electrical conductivity and thermal conductivity of alloy nanoparticles with working fluids make them ideal materials to be used as coolants in microelectromechanical systems (MEMSs). This paper aims to investigate the effects of different alloy nanoparticles such as AA7075 and Ti6Al4V on microchannel flow of magneto-nanoliquids with partial slip and convective boundary conditions. Flow features are explored with the effects of magnetism and nanoparticle shape. Heat transport of fluid includes radiative heat, internal heat source/sink, viscous and Joule heating phenomena.Design/methodology/approachSuitable dimensionless variables are used to reduce dimensional governing equations into dimensionless ordinary differential equations. The relevant dimensionless ordinary differential systems are computed numerically by using Runge–Kutta–Fehlberg-based shooting approach. Pertinent results of velocity, temperature, entropy number and Bejan number for assorted values of physical parameters are comprehensively discussed. Also, a closed-form solution is obtained for momentum equation for a particular case. Analytical results agree perfectly with numerical results.FindingsIt is established that the entropy production can be improved with radiative heat, Joule heating, convective heating and viscous dissipation aspects. The entropy production is higher in the case of Ti6Al4V-H2O nanofluid than AA7075-H2O. Further, the inequality Ns(ξ)Sphere > Ns(ξ)Hexahedran > Ns(ξ)Tetrahydran > Ns(ξ)Column > Ns(ξ)Lamina holds true.Originality/valueEffects of aluminium and titanium alloy nanoparticles in microchannel flows by using viscous dissipation and Joule heating are investigated for the first time. Flow features are explored with the effects of magnetism and nanoparticle shape. The results for different alloy nanoparticles such as AA7075 and Ti6Al4V have been compared.

A theoretical analysis for peristalsis of Casson material with thermal radiation and viscous dissipation

Effects of thermal radiation and radial applied magnetic field on the peristaltic motion of Casson material in a channel are investigated. Heat equation contains Joule heating and viscous dissipation characteristics. The flow equations in wave frame are reduced in view of long wavelength and small Reynolds number. Stream function formulation is adopted. Closed form solutions of physical quantities have been developed. Physical interpretation through graphs is assigned. It is found that pressure gradient and fluid velocity decreases for Casson fluid parameter. Also temperature is decreasing quantity of thermal radiation parameter and Prandtl number.

Patterned surface charges coupled with thermal gradients may create giant augmentations of solute dispersion in electro-osmosis of viscoelastic fluids.

Augmenting the dispersion of a solute species and fluidic mixing remains a challenging proposition in electrically actuated microfluidic devices, primarily due to an inherent plug-like nature of the velocity profile under uniform surface charge conditions. While a judicious patterning of surface charges may obviate some of the concerning challenges, the consequent improvement in solute dispersion may turn out to be marginal. Here, we show that by exploiting a unique coupling of patterned surface charges with intrinsically induced thermal gradients, it may be possible to realize giant augmentations in solute dispersion in electro-osmotic flows. This is effectively mediated by the phenomena of Joule heating and surface heat dissipation, so as to induce local variations in electrical properties. Combined with the rheological premises of a viscoelastic fluid that are typically reminiscent of common biofluids handled in lab-on-a-chip-based micro-devices, our results demonstrate that the consequent electro-hydrodynamic forcing may open up favourable windows for augmented hydrodynamic dispersion, which has not yet been unveiled.

Simulation of the Convective Heat Exchange in the Spherical Layer of an Electrically Conducting Liquid

Results of numerical simulation of the convective heat exchange in the electrically conducting liquid flowing in the space between two concentric isothermal spheres are presented. The influence of the Joule heat dissipation, the electromagnetic forces, and the Grashof number on the structure of the liquid flow, its temperature and magnetic-induction fields, and the distribution of Nusselt numbers in it was investigated.

Peristaltic flow of Eyring-Powell nanofluid under the action of an electromagnetic field

Electro-kinetic peristaltic flow of Eyring-Powell nanofluid has been investigated in this paper. The flow is considered to take place in an asymmetric wavy micro-channel. The system is supposed to be acted on by an external magnetic field and to be exposed to Joule heating. Velocity and temperature of the fluid have been calculated by using Debye-Hückel approximation. Flow of the nanofluid is considered to take place under the combined action of an external transverse magnetic field and a horizontal static electric field. Considering low Reynolds number and using long wavelength approximation, variations of axial velocity, pressure gradient, wall shear stress and temperature profiles have been investigated both analytically and numerically by using efficient mathematical softwares. The peristaltic pumping characteristics and the trapping of fluid bolus have also been thoroughly examined in the light of electroosmosis. The study shows that even mild electroosmosis can cause higher pressure gradient in the axial direction. It bears the promise of important application to weak peristaltic transport modulation for EMHD nanofluid flows. The study further reveals that the occurrence of trapping can be controlled by suitably adjusting the magnitude of the electric field. The study also reports the thermal transport mechanism in the fluid, under the action of Joule heating and viscous energy dissipation. It shows that an increase in the volume fraction of the nanoparticles in the fluid can considerably enhance the momentum transport in the core region of the microchannel.

Slip Flow of MHD Casson-Nanofluid Past a Variable Thickness Sheet with Joule Heating and Viscous Dissipation: A Comparative Study Using Three Base Fluids

Slip Flow of MHD Casson-Nanofluid Past a Variable Thickness Sheet with Joule Heating and Viscous Dissipation: A Comparative Study Using Three Base Fluids

Analysis of the Effects of Joule Heating and Viscous Dissipation on Combined Pressure-Driven and Electrokinetic Flows in a Two-Parallel Plate Channel with Unequal Constant Temperatures

In this article, we perform an entropy generation analysis for the micro channel heat sink applications where the flow of fluid is actuated by combined influences of applied pressure gradient and electric field under electrical double layer phenomenon. The upper and lower walls of the channels are kept at different constant temperatures. The temperature-dependent viscosity of the fluid is considered and hence the momentum equation and energy equations are coupled in this study. Also, a hydrodynamic slip condition is employed on the viscous dissipation. For complete analysis of the entropy generation, we use a perturbation approach with lubrication approximation. In this study, we discuss the results depicting variations in the velocity and temperature distributions and their effect on local entropy generation rate and Bejan number in the system. It can be summarized from this analysis that the enhanced velocity gradients in the flow field due to combined effect of temperature-dependent viscosity and Joule heating and viscous dissipative effects, leads to an enhancement in the local entropy generation rate in the system.

Effect of Variable Fluid Properties on MHD Mixed Convection Flow of Second-Grade Fluid Over a Linear Heated Stretching Sheet with a Convective Boundary Condition

An analysis has been carried out to study the effect of variable fluid properties on MHD mixed convection flow of second-grade fluid flowing along an infinite stretching sheet with convective boundary condition. The fluid is placed on an infinite heated elastic surface with linear stretching rate and a vertical velocity component due to suction at the sheet is considered. The combined effects of inertia, viscous, visco-elastic, and magnetic forces are analyzed. The basic equations governing the flow, heat transfer, and mass transfer are reduced to a set of nonlinear ordinary differential equations by using appropriate similarity transformations for velocity, temperature, and concentration. The fluid viscosity is assumed to vary as an inverse linear function of temperature, whereas the thermal conductivity as a linear function of temperature. These equations are solved numerically and the results for velocity, temperature, concentration, skin friction, local Nusselt number, and local Sherwood number are discussed using flow parameters. The investigation reveals that Joule heating and viscous dissipation enhance the temperature profile, and there are considerable effects in the presence of variable fluid properties. Comparison with previous studies shows good agreement as a special case of the problem.

Combined Effects of Frictional and Joule Heating on MHD Nonlinear Radiative Casson and Williamson Ferrofluid Flows with Temperature Dependent Viscosity

The impacts of Joule’s dissipation and frictional heating on non-Newtonian ferrofluid flows past a bidirectionally stretching convective surface are investigated. We assumed that Fe3O4 nanoparticles are mixed with methanol. Both Casson and Williamson models are opted while formulating the basic flow equations. The impact of temperature dependent viscosity is accounted. The Joule heating and viscous dissipation impacts are also considered. Shooting and R.K. numerical procedures are used to solve the flow problem. Graphical and tabular illustrations are presented with a view of understanding the nature of flow and heat transfer for discrete values of flow parameters. It is worth to note that the thickness of velocity boundary layer of Casson fluid flow is greater than that of Williamson fluid flow. Also the presence of Joule and frictional heating leads to more heat energy to Casson fluid flow while compared to that of Williamson fluid. Heat transfer rate is better in Williamson fluid compared to that of Casson fluid.

Magnetic Field and Thermal Radiation Effects in Peristaltic Flow With Heat and Mass Convection

This paper scrutinizes the impact of thermal radiation and applied magnetic field on Jeffrey fluid with peristalsis. The effects of Joule heating and viscous dissipation are retained. Convective conditions are imposed for the heat and mass transfer analysis. Lubrication approach is considered for the analysis. Expressions for pressure gradient, stream function, temperature, concentration, and heat transfer coefficient are developed and physically interpreted through illustrations. It is revealed that temperature enhances for higher estimation of Brinkman and Hartmann numbers, while it decays for larger Biot number. Furthermore, the concentration decreases for varying Schmidt number. Heat transfer coefficient has an oscillatory behavior for larger estimation of radiation parameter.

Numerical simulation of magnetohydrodynamic Jeffrey nanofluid flow and heat transfer over a stretching sheet considering Joule heating and viscous dissipation

The purpose of the present study is to numerically examine the impact of silver, titanium oxide and alumina nanoparticles on the steady 2D magnetohydrodynamic boundary layer flow and heat transfer of Jeffrey fluid over a stretching sheet with Joule heating and viscous dissipation. The governing non-linear partial differential equations (PDEs) are reduced to the non-linear ordinary differential equations (ODEs) by using some appropriate dimensionless variables and then solved numerically by using the Keller-box technique. The impacts of nanoparticle volume fraction, magnetic parameter, Deborah number, Prandtl number and Eckert number on the velocity and temperature profiles, local Nusselt number and skin friction are investigated through graphs and tables. The results indicate that the silver-water nanofluid has comparatively less velocity, skin friction and local Nusselt number than those of the base fluid. However the temperature is enhanced due to the inclusion of the nanoparticles. Furthermore, it is concluded that both the skin friction and the Nusselt number are increased by increasing the Deborah number whereas these are decreased by increasing the magnetic parameter.

Electroosmotic Flow of MHD Power Law Al2O3-PVC Nanouid in a Horizontal Channel: Couette-Poiseuille Flow Model

The current manuscript is reported about the electro-osmotic Couette-Poiseuille flow of power law Al2O3-PVC nanofluid through a channel, in which upper wall is moving with constant velocity. The influences of magnetic field, mixed convection, joule heating, and viscous dissipation are also incorporated. The flow is generated because of constant pressure gradient in axial direction. The resulting flow problem is coupled nonlinear ordinary differential equations, which are at first modeled and then transform into dimensionless form through appropriate transformation. Analytical solution of the governing is carried out. The impact of modified Brinkman number, modified Magnetic field, electro-osmotic parameters on velocity and temperature are examined graphically. From the results, it is concluded that the Skin friction at moving isolated wall decreases with the increase of electro-osmotic parameter and reverse behavior for Nusselt number at heated stationary wall occur.

Scrutinization of Joule Heating and Viscous Dissipation on MHD Flow and Melting Heat Transfer Over a Stretching Sheet

The present paper deals with an analysis of the combined effect of Joule heating and viscous dissipation on an MHD boundary layer flow and melting heat transfer of a micro polar fluid over a stretching surface. Governing equations of the problem are transformed into a set of coupled nonlinear ordinary differential equations by applying proper transformations and then they are solved numerically using the RKF-45 method. The method is verified by a comparison with the established results with limiting solution. The influence of the various interesting parameters on the flow and heat transfer is analyzed in detail through plotted graphs.

Investigation of heat and mass transfer under the influence of variable diffusion coefficient and thermal conductivity

This study is devoted to analyze the influence of variable diffusion coefficient and variable thermal conductivity on heat and mass transfer in Casson fluid flow. The behavior of concentration and temperature profiles in the presence of Joule heating and viscous dissipation is also studied. The dimensionless conversation laws with suitable BCs are solved via Modified Gegenbauer Wavelets Method (MGWM). It has been observed that increase in Casson fluid parameter $$ (\beta ) $$ and parameter $$ \epsilon $$ enhances the Nusselt number. Moreover, Nusselt number of Newtonian fluid is less than that of the Casson fluid. The phenomenon of mass transport can be increased by solute of variable diffusion coefficient rather than solute of constant diffusion coefficient. A detailed analysis of results is appropriately highlighted. The obtained results, error estimates, and convergence analysis reconfirm the credibility of proposed algorithm. It is concluded that MGWM is an appropriate tool to tackle nonlinear physical models and hence may be extended to some other nonlinear problems of diversified physical nature also.

Thermally Radiative Rotating Magneto-Nanofluid Flow over an Exponential Sheet with Heat Generation and Viscous Dissipation: A Comparative Study

This article examines a mathematical model to analyze the rotating flow of three-dimensional water based nanofluid over a convectively heated exponentially stretching sheet in the presence of transverse magnetic field with additional effects of thermal radiation, Joule heating and viscous dissipation. Silver (Ag), copper (Cu), copper oxide (CuO), aluminum oxide (Al2O3) and titanium dioxide (TiO2) have been taken under consideration as the nanoparticles and water (H2O) as the base fluid. Using suitable similarity transformations, the governing partial differential equations (PDEs) of the modeled problem are transformed to the ordinary differential equations (ODEs). These ODEs are then solved numerically by applying the shooting method. For the particular situation, the results are compared with the available literature. The effects of different nanoparticles on the temperature distribution are also discussed graphically and numerically. It is witnessed that the skin friction coefficient is maximum for silver based nanofluid. Also, the velocity profile is found to diminish for the increasing values of the magnetic parameter.

Scrutinization of thermal radiation, viscous dissipation and Joule heating effects on Marangoni convective two-phase flow of Casson fluid with fluid-particle suspension

Abstract The impact of Marangoni convection on dusty Casson fluid boundary layer flow with Joule heating and viscous dissipation aspects is addressed. The surface tension is assumed to vary linearly with temperature. Physical aspects of magnetohydrodynamics and thermal radiation are also accounted. The governing problem is modelled under boundary layer approximations for fluid phase and dust particle phase and then Runge-Kutta-Fehlberg method based numeric solutions are established. The momentum and heat transport mechanisms are focused on the result of distinct governing parameters. The Nusselt number is also calculated. It is established that the rate of heat transfer can be enhanced by suspending dust particles in the base fluid. The temperature field of fluid phase and temperature of dust phase are quite reverse for thermal dust parameter. The radiative heat, viscous dissipation and Joule heating aspects are constructive for thermal fields of fluid and dust phases. The velocity of dusty Casson fluid dominates the velocity of dusty fluid while this trend is opposite in the case of temperature. Moreover qualitative behaviour of fluid phase and dust phase temperature/velocity are similar.

The exact effects of radiation and joule heating on magnetohydrodynamic Marangoni convection over a flat surface

In this paper, we re-investigate the problem describing effects of radiation, Joule heating and viscous dissipation on MHD Marangoni convection boundary layer over a flat surface with suction/injection. The analytical solution obtained for the reduced system of nonlinear-coupled differential equations governing the problem. Laplace transform successfully implemented to get the exact expression for the temperature profile. Furthermore, comparing the current exact results with approximate numerical results obtained using Runge-Kutta-Fehlberg method is introduced. These comparisons declare that the published numerical results agree with the current exact results. In addition, the effects of various parameters on the temperature profile are discussed graphically.

Modeling of stability control in a thin layer of solidifying melt on cylindrical surface

Parametric oscillations of phase transition boundaries, which, unlike surface oscillations of liquid metal film flows described in literature, are shown as defined by an energy exchange between the electromagnetic regulator and the object. While the force influence was considered in film flows, here we consider the thermal influence that makes the frequency of the applied electromagnetic field irrelevant. It has to be rather high so that Joule heat dissipation could occur in a thin skin-layer near the boundary of phase transition (for implementation of the boundary control). Oscillations of phase transition boundaries reveal a low frequency; the system exhibits considerable inertness in thermodynamic relation. Thus, stabilization (suppression of oscillations) is possible at the expense of Joule heat dissipation, i.e. the stabilizing effect of an electromagnetic field is mediated and force actions, as it was demonstrated by our experiments, are rather small. The problem is of practical interest for protection of the metallurgical aggregate machines against high-temperature and chemically aggressive melt with artificial controlled thin layer of garnissage.

Rotating frame analysis of radiating and reacting ferro-nanofluid considering Joule heating and viscous dissipation

We investigated the role of vibrational rotations and slip conditions at liquid-sheet interface in maintaining the three dimensional flow of ferro-nanoliquid (water-Fe3O4) over a bi-directionally stretchable surface under the influence of magnetic field. It is assumed that chemical reactions prevail between two species A and B whose diffusion coefficients are unequal. Also, mass transfer is considered in the presence of homogeneous and heterogeneous reactions for species A and B. Influences of nonlinear thermal radiation along with viscous dissipation and Joule heating are also invoked into the analysis due to their predominance in the control of heat and mass transfer mechanism. Stability and convergence limitations are verified to ensure the accuracy of results. The outcome due to proposed explicit finite difference scheme is exhibited in the form of figures and tables to illustrate the influence of emerging parameters for two cases namely slip nanofluid (SNF) and no slip nanofluid (NSNF). Results reveal that vibrational rotations and slip at the surface of sheet substantially control flow, and heat and mass transfer phenomena.