Melting Heat Transfer Effects Research Articles

Melting heat transfer and entropy analysis of ternary Casson nanofluids flow with second slip conditions: Application on rocket engine cooling

Heat transfer analysis of Casson nanofluid flow with single and multi-walled carbon nanotubes and Al2O3 or GO nanoparticles, which are suspended in kerosene oil, is elucidated. The impact of second slip conditions on the flow system’s velocity, temperature, and solutal is considered, along with the effect of melting heat transfer and nanoparticle shape factor. The appraisal’s novelty is the incorporation of second slip conditions on kerosene oil flow containing with new three distinct nanoparticles. Similar variables are used to convert the governing equations into ordinary equations which are then solved using homotopy perturbation method (HPM). The profiles of velocity, temperature, concentration, and Bejan number are estimated for various values of relevant parameters. Results demonstrate that the Bejan number declines due to enhance the first thermal parameter and second velocity parameter, while the contrary tendency is examined by raising the Casson fluid parameter and first velocity parameter. Al2O3-SWCNT-MWCNT TNF responds more strongly than GO-SWCNT-MWCNT TNF when the temperature is coupled with (nanoparticles volume fraction, first thermal parameter), axial velocity with (nanoparticles volume fraction, first velocity parameter, first thermal parameter), and Bejan number with melting parameter. This study is to help rocket engine designers identify the optimal nanofluids for cooling and fuel.

Heat generation and melting heat transfer effects on MHD flow of Carreau fluid in a porous medium

AbstractWe consider heat and mass transfer analysis of magnetohydrodynamic (MHD) Carreau fluid flow along a stretching sheet in a permeable medium with impacts of melting condition, heat generation, double diffusion, and variable thermal conductivity. The novelty of the present work is to study the effects of melting heat transfer and heat generation on MHD flow of Carreau fluid along a stretched sheet in a porous medium with influence of Dufour and Soret effects, and variable thermal conductivity. Similarity transformations procedure is used which transform the partial differential equations (PDEs) of fluid flow model into nonlinear dimensionless ordinary differential equations (ODEs). We obtained numerical solutions of ODEs and the effects of assorted governing parameters are investigated. The results showed that boosting melting parameter increases velocity and concentration fields and reduces temperature profile. Enhancing heat source parameter increases temperature profile, concentration profile observing decline for modified Dufour parameter, Schmidt number, and Soret number, and velocity of the fluid decline for magnetic and porosity parameters. Impact of governing parameters on physical quantities comprising Nusselt number, skin friction, and Sherwood number is evaluated numerically. The accuracy of our results are established in comparison with previous research for skin friction coefficient and Nusselt number.

Unveiling the Performance of Cu-Water Nanofluid Flow with Melting Heat Transfer, MHD, and Thermal Radiation over a Stretching/Shrinking Sheet.

The use of melting heat transfer (MHT) and nanofluids for electronics cooling and energy storage efficiency has gained the attention of numerous researchers. This study investigates the effects of MHD, mixed convection, thermal radiation, stretching, and shrinking on the heat transfer characteristics of a Cu-water-based nanofluid over a stretching/shrinking sheet with MHT effects. The governing equations are transformed into nonlinear ordinary differential equations and solved numerically using the Keller Box method. To the best of our knowledge, this comprehensive analysis, encompassing all of these factors, including the utilization of a robust numerical method, in a single study, has not been previously reported in the literature. Our findings demonstrate that an increase in the melting parameter leads to an enhanced rate of heat transfer, while an increase in the stretching/shrinking parameter results in a decrease in the rate of heat transfer. Additionally, we present a comprehensive analysis of the influences of all of the mentioned driving parameters. The results are presented through graphical and tabulated representations and compared with existing literature.

Computation of Stagnation Point Convection Flow of Carbon Nanotube Nanofluids From a Stretching Sheet With Melting: Dual Solutions

Abstract A theoretical study in stagnation point flow is presented where melting heat transfer effects of carbon nanotube (CNT) from a stretching surface is appeared. Both carbon nanotubes like single-wall CNT (SWCNT) and multiwall CNT (MWCNT) are homogeneously dispersed in the base fluid. As the ordinary (or base) fluids, water and kerosene oil are employed. A set of nonlinear ordinary differential equations with appropriate boundary conditions is formed by transforming the governing equations via similarity transformations. The transformed nonlinear ordinary differential equations are then solved numerically using the bvp4c solver in matlab, an efficient numerical finite difference method. The impact of nanoparticle volume fraction, velocity, melting, stretching parameter, and CNT type on transport characteristics are explored and visualized graphically and in tabular forms. Verification of the matlab computations with available data in certain limiting cases is included showing excellent agreement. Existence of dual (upper and lower branch) solution is shown for a certain range of stretching sheet parameter. The obtained dual solutions are examined for velocity and temperature in detail. A stability analysis demonstrates that the first solution is a stable solution, and the second solution is an unstable solution. Local skin friction and local Nusselt number are also computed in order to determine critical values that can permit dual solutions. It is observed that when a dimensionless melting parameter is greater than 1, SWCNT nanofluids attain greater velocities than MWCNT nanofluids for water as well as kerosene oil base fluids. Moreover, the flow is accelerated for SWCNT compared with MWCNT for both water and kerosene oil. With increasing stretching parameter, the heat transfer rate (Nusselt number) increases, whereas skin friction coefficients decrease. Higher skin friction and Nusselt number are obtained for SWCNTs compared to MWCNTs due to their greater density and thermal conductivity. The study is relevant to phase change manufacturing fluid dynamics of nanomaterials.

Melting Heat Transfer Effects on Flow of a Micropolar Fluid with Heat Generation(Absorption) in Slip Flow Regime

Melting Heat Transfer Effects on Flow of a Micropolar Fluid with Heat Generation(Absorption) in Slip Flow Regime

Effect of melting heat transfer on electromagnetohydrodynamic non-newtonian nanofluid flow over a riga plate with chemical reaction and arrhenius activation energy

Effect of melting heat transfer on electromagnetohydrodynamic non-newtonian nanofluid flow over a riga plate with chemical reaction and arrhenius activation energy

Melting heat transfer of a hybrid nanofluid flow towards a stagnation point region with second-order slip

This paper examines the behaviour of a hybrid nanofluid flow towards a stagnation point on a stretching or shrinking surface with second-order slip and melting heat transfer effects. Copper (Cu) and alumina (Al2O3) are considered as the hybrid nanoparticles while water as the base fluid. The governing equations are reduced to the similarity equations using similarity transformations. The resulting equations are programmed in MATLAB software through the bvp4c solver to obtain the numerical solutions. The results reveal that two solutions are possible for the shrinking case [Formula: see text], where the bifurcation of the solutions occurs in this region. Moreover, the heat transfer rate and the skin friction coefficient enhance with the rise of the melting parameter. Meanwhile, these quantities decrease for a smaller second-order slip parameter. The temporal stability analysis shows that only one of the two solutions is stable as time evolves.

Chemical Reaction and Melting Heat Effects on MHD Free Convective Radiative Fluid Flow Past a Continuous Moving Plate in the Presence of Thermo-Physical Parameters

This study focuses on the analytical solution for the chemical reaction and melting heat transfer effects on MHD steady two-dimensional laminar viscous incompressible radiating boundary layer flow over a flat plate in the presence of variable fluid properties and Soret effect. The presence of viscous dissipation is also put into consideration at the plate under the influence of uniform transverse magnetic field. A mathematical model is developed to investigate the heat transfer characteristics occurring during the melting process due to a stretching sheet. The model contains nonlinear coupled partial differential equations which have been transformed into a system of ordinary differential equation via suitable similarity variables and then solved analytically by employing the Homotopy analysis method (HAM). The convergence of the series solution is established. The impact of various controlling parameters on the flow, heat and mass transfer characteristics are analyzed and discussed in detail through graphs and tables. The velocity and temperature depreciate with increase in radiation parameter and variable viscosity parameter. It is observed that for rising values of magnetic field parameter, variable viscosity parameter, and Prandtl number, the local skin friction increases while a reverse effect is seen in the case of Grashof number and melting parameter. It is found that the temperature decreases as the thermal radiation and melting parameter increase.

Analytical approach for the effect of melting heat transfer on nanofluid heat transfer

In this article, the impact of melting heat transfer on nanofluid flow in the presence of Lorentz forces is reported. Different shapes of nanoparticles are considered. The impacts of Joule heating, viscous dissipation and thermal radiation are added in the governing equations. The Homotopy Analysis Method (HAM) is selected to solve Ordinary Differential Equations (ODEs). The roles of nanofluid volume fraction, shape of the nanoparticles, Hartmann number, porosity parameter, melting parameter, Eckert number are presented graphically. The results reveal that choosing a platelet shape leads to the maximum Nusselt number. The temperature reduces with the rise of the melting parameter but velocity increases with the increase of the melting parameter. Nu augments with the increase of the Lorentz forces while it reduces with the augment of porosity and melting parameters.

Influence of melting surface on MHD nanofluid flow by means of two phase model

In this paper, the effect of melting heat transfer on the nanofluid flow in the presence of Lorentz forces is reported. Two phase model is considered for the nanofluid. The Runge–Kutta method is selected to solve the ODEs, which are obtained from a similarity transformation. The roles of the Reynolds number, Schmidt number, Brownian parameter, thermophoresis parameter, Eckert number and melting parameter are illustrated graphically. The results reveal that the Nusselt number increases with an increase of the Hartmann number. The temperature gradient reduces with a rise of the melting parameter and Eckert number.

Effect of melting heat transfer on nanofluid flow in existence of magnetic field considering Buongiorno Model

In this article, the Buongiorno model is applied to the investigation of nanofluid flow over a stretching plate in the presence of a magnetic field. Radiation and melting heat transfer are taken into account. The Runge-Kutta method is selected in order to solve the ODEs which are obtained from similarity transformations. The roles of the Brownian motion, thermophoretic parameter, Hartmann number, porosity parameter, melting parameter and Eckert number are presented graphically. Our results indicate that the nanofluid velocity and concentration are enhanced with a rise of the melting parameter. The Nusselt number is reduced with an increase of the porosity and melting parameters.

Numerical simulation for melting heat transfer and radiation effects in stagnation point flow of carbon–water nanofluid

This attempt addresses the simultaneous characteristics of thermal radiation and melting heat transfer effects in stagnation point flow of carbon nanotubes due to a stretching cylinder. Velocity slip phenomenon is also retained. Two types of carbon nanotubes (single and multi-walls) are homogeneously dispersed in the base fluid (water). The governing physical problem is modeled and converted into set of coupled nonlinear ODE’s utilizing transformations. Resulting problems are computed numerically by fifth order Range–Kutta Fehlberg scheme. The physical characteristics of various variables on the velocity and thermal fields are examined. Numerical data for skin friction and Nusselt number have been prepared and deliberated. It is explored that velocity is increased for larger ratio of rate constants. The increasing values of melting parameter correspond to higher velocity and less temperature. Besides this the accuracy of present results is also affirmed. It is noted that the computed numerical solutions have excellent match with previous published materials in a limiting sense.

Effect of melting heat transfer and thermal radiation on Casson fluid flow in porous medium over moving surface with magnetohydrodynamics

In this study, the effects of variable fluid properties on heat transfer in MHD Casson fluid melts over a moving surface in a porous medium in the presence of the radiation are examined. The relevant similarity transformations are used to reduce the governing equations into a system of highly nonlinear ordinary differential equations and those are then solved numerically using the Runge–Kutta–Fehlbergmethod. The effects of different controlling parameters, namely, the Casson parameter,melting and radiation parameters, Prandtl number,magnetic field, porosity, viscosity and the thermal conductivity parameters on flow and heat transfer are investigated. The numerical results for the dimensionless velocity and temperature as well as friction factor and reducedNusselt number are presented graphically and discussed. It is found that the rate of heat transfer increases as the Casson parameter increases.

Homogeneous-heterogeneous reactions and melting heat transfer effects in the MHD flow by a stretching surface with variable thickness

This attempt addresses the effect of melting heat in the flow due to nonlinear variable thicked surface. Analysis is presented subject to homogeneous and heterogeneous reactions and stagnation point flow. Inclined character of applied magnetic field is considered. Heat generation and absorption effects are also considered to characterize the phenomenon of heat transfer. The reduced expressions through boundary layer partial differential equations are solved. Homotopic procedure is implemented to solve the arising dimensionless expressions. The physical characteristics of various parameters on the velocity, temperature and concentration distributions are explored. Skin friction coefficient and Nusselt number are evaluated and scrutinized through numerical data.

Heterogeneous-homogeneous reactions and melting heat transfer effects in flow with carbon nanotubes

The communication here addresses the impact of heterogeneous-homogeneous reactions in boundary layer flow of nanofluid saturating porous medium. The stretching cylinder caused the flow in presence of melting heat transfer. Analysis for single-wall carbon nanotubes (SWNTs) and multi-wall carbon nanotubes (MWNTs) is explored. Water is taken as the base fluid. Auto catalyst and reactant both have same diffusion coefficient. Boundary layer problems are computed for the velocity, temperature and concentration. Resulting differential systems are evaluated for the convergent series solutions. Outcomes for the velocity f′(η), temperature θ(η) and concentration φ(η) are examined. The skin friction coefficient f″(0) and Nusselt number θ′(0) are also explored. It is found that temperature θ(η) and velocity f′(η) have reverse effects for melting parameter M. Concentration distribution φ(η) is decreasing function of homogeneous reaction parameter K while opposite influence of heterogeneous reaction appears. Maximum heat transfer and minimum thermal resistance are noticed for MWCNTs than SWNTs.

Effect of melting heat transfer on peristalsis in the presence of thermal radiation and Joule heating

Mathematical model is developed for peristaltic flow of viscous fluid through a compliant wall channel subject to melting heat transfer. Fluid is incompressible and magnetohydrodynamic. Analysis has been performed in the presence of Joule heating and thermal radiation. Solutions for small wave number are obtained. Physical quantities of interest are examined for various parameters of interest.

Melting heat transfer effects on stagnation point flow of micropolar fluid with variable dynamic viscosity and thermal conductivity at constant vortex viscosity

The two dimensional boundary layer flow of micropolar fluid towards stagnation point formed on a horizontal linearly stretching surface is investigated. Melting heat transfer at the surface, temperature and exponentially space dependent internal heat generation within fluid domain are considered. It is assumed that dynamic viscosity and thermal conductivity are temperature dependent while micropolar vortex viscosity is constant. These assumptions are discussed. Classical temperature dependent viscosity and thermal conductivity models were modified to suit the case of melting heat transfer following all the necessary theories. Similarity transformations are used to convert the governing equations into non-linear boundary value problem and solved numerically. Effects of various parameters on the micropolar fluid flow and heat transfer are analyzed. The results reveal that one of the possible ways to increase transverse velocity of micropolar fluid flow over melting surface is to consider variable thermo-physical property of micropolar fluid at constant vortex viscosity with a decrease in melting parameter while velocity ratio increases. For correct analysis/investigation of micropolar fluid flow with variable properties over melting surface, the new thermo-physical models are to be considered. The velocity increases with the increase of velocity ratio under the new condition compare to classical condition (constant thermo-physical property) of micropolar fluid flow over melting surface.

Melting heat transfer effects on stagnation point flow of micropolar fluid saturated in porous medium with internal heat generation (absorption)

The effect of melting heat transfer on the two dimensional boundary layer flow of a micropolar fluid near a stagnation point embedded in a porous medium in the presence of internal heat generation/absorption is investigated. The governing non-linear partial differential equations describing the problem are reduced to a system of nonlinear ordinary differential equations using similarity transformations solved numerically using the Chebyshev spectral method. Numerical results for velocity, angular velocity and temperature profiles are shown graphically and discussed for different values of the inverse Darcy number, the heat generation/absorption parameter, and the melting parameter. The effects of the pertinent parameters on the local skin-friction coefficient, the wall couple stress, and the local Nusselt number are tabulated and discussed. The results show that the inverse Darcy number has the effect of enhancing both velocity and temperature and suppressing angular velocity. It is also found that the local skin-friction coefficient decreases, while the local Nusselt number increases as the melting parameter increases.

Influence of Melting Heat Transfer in the Stagnation-Point Flow of a Jeffrey Fluid in the Presence of Viscous Dissipation

This communication studies the effect of melting heat transfer on the stagnation-point flow of a Jeffrey fluid over a stretching sheet. Heat transfer analysis is carried out in the presence of viscous dissipation. The arising differential system has been solved by the homotopy analysis method (HAM). The results indicate an increase in the velocity and the boundary layer thickness with an increase in the values of the elastic parameter (Deborah number) for a Jeffrey fluid which are opposite to those accounted for in the literature for the other subclasses of rate type fluids. Furthermore, an increase in the melting process corresponds to an increase in the velocity and a decrease in the temperature. A comparative study between the current computations and the previous studies is also presented in a limiting sense.