In this paper, the numerical solution for heat transfer through a rotating heat pipe is studied a... more In this paper, the numerical solution for heat transfer through a rotating heat pipe is studied and a sensitivity analysis is presented by using statistical experimental design technique. Graphene oxide-molybdenum disulfide (GO-MoS2) hybrid nanofluid is taken as working fluid inside the pipe. The impact of the heat pipe parameters (rotation speed, initial mass, temperature difference) on the heat transfer and liquid film thickness is investigated. The mathematical model coupling the fluid mass flow rate and liquid film evolution equations in evaporator, adiabatic, and condenser zones of the heat pipe is constructed. The mathematical model is solved by implementation of “Particle Swarm Optimization” along with the finite difference method. The outcomes demonstrate that hybrid nanoparticles help to improve the heat transfer through the heat pipe and reduce liquid film thickness. The heat transfer rises with increasing temperature difference and reducing inlet mass, and it reduces slig...
International Journal for Computational Methods in Engineering Science and Mechanics
Abstract In this paper, magneto-hydrodynamic flow of four different nanoliquids is presented. Two... more Abstract In this paper, magneto-hydrodynamic flow of four different nanoliquids is presented. Two types of nanoparticles, viz. alumina and CuO are considered in water and ethylene glycol as base fluids. Appropriate models for nanoliquid physical properties are considered to incorporate the nanoparticle aggregation effects, nanoparticle shape, and size of the nanoparticles. Similarity transformations are used to convert the partial differential equations of the flow to nonlinear ordinary differential equations. The resultant system of equations is solved by Runge–Kutta finite difference method and an error function is designed which is optimized by using a metaheuristic algorithm, namely particle swarm optimization. The effect of flow parameters, viz. mass transfer parameter and Hartmann number and the nanoliquid parameters like nature of the base liquid, nanoparticle material, nanoparticle size, concentration of nanoparticle in base liquid on velocity distributions have been analyzed and discussed. The nanoparticle concentration and the particle size are found to have a significant role in the nanoliquid flow in the channel. The numerical results obtained from the proposed numerical method are validated with the previously published work under some special cases. The proposed numerical method holds excellent potential in mathematical modeling problems where the resultant equations are nonlinear coupled ordinary differential equations with unknown initial or boundary conditions.
Heat and mass transfer characteristics and the flow behavior on MHD flow near the lower stagnatio... more Heat and mass transfer characteristics and the flow behavior on MHD flow near the lower stagnation point of a porous isothermal horizontal circular cylinder have been studied. The equations of conservation of mass, momentum, energy and concentration which govern the case study of heat and mass transfer flow have been obtained. These equations have been transformed into a system of non-dimensional coupled non-linear ordinary differential equations by using similarity transformations and finally solved by Runge-Kutta and shooting method. It has been assumed that the fluid is incompressible, absorbing-emitting radiation and viscous, with temperature dependent viscosity and temperature dependent thermal conductivity in the presence of radiation. Velocity profiles, temperature distributions and concentration distributions for the flow have been presented for various values of radiation parameter, viscosity variation parameter, thermal conductivity variation parameter, Prandtl number and ...
World Academy of Science, Engineering and Technology, International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering, 2015
Abstract—This paper deals with the theoretical and numerical investigation of magneto hydrodynami... more Abstract—This paper deals with the theoretical and numerical investigation of magneto hydrodynamic boundary layer flow of a nanofluid past a wedge shaped wick in heat pipe used for the cooling of electronic components and different type of machines. To incorporate the effect of nanoparticle diameter, concentration of nanoparticles in the pure fluid, nanothermal layer formed around the nanoparticle and Brownian motion of nanoparticles etc., appropriate models are used for the effective thermal and physical properties of nanofluids. To model the rotation of nanoparticles inside the base fluid, microfluidics theory is used. In this investigation ethylene glycol (EG) based nanofluids, are taken into account. The non-linear equations governing the flow and heat transfer are solved by using a very effective particle swarm optimization technique along with Runge-Kutta method. The values of heat transfer coefficient are found for different parameters involved in the formulation viz. nanopar...
The stability of the interface formed by a viscoelastic nanofluid and viscous incompressible flui... more The stability of the interface formed by a viscoelastic nanofluid and viscous incompressible fluid is examined here. The layout is taken in such a way that the viscoelastic nanofluid lies above the viscous fluid, and therefore, the interface experiences Rayleigh–Taylor type instability. The power-law viscoelastic liquid is considered for the linear stability analysis and the potential flow theory of viscous fluids is enforced to solve the mathematical equations. This theory includes the viscosity of the fluids in the analysis, while the flow is considering as irrotational. The stress balance equation at the interface contains normal viscous stresses and their difference is neutralized by interfacial tension. An algebraic equation of second degree is achieved and stability/instability is discussed based on the negative/positive roots of this equation. The response of flow parameters is studied by the various plots based on the growth rate parameter. It is found that the perturbation ...
International Communications in Heat and Mass Transfer, 2016
Abstract In this work, a viscous potential flow theory is used to study the nonlinear Kelvin-Helm... more Abstract In this work, a viscous potential flow theory is used to study the nonlinear Kelvin-Helmholtz instability of the interface between two viscous, incompressible and thermally conducting fluids, when the phases are enclosed between two horizontal cylindrical surfaces coaxial with the interface and when there is mass and heat transfer across the interface. The method of multiple time expansions is applied and it is shown that the evolution of amplitudes is governed by a nonlinear first order partial differential equation. The various stability criteria are discussed both analytically and numerically, stability diagrams are studied graphically. It is observed that the heat and mass transfer has destabilizing effect on the stability of the system in the nonlinear analysis.
In this paper a numerical model is developed to examine the effect of thermal radiation on magnet... more In this paper a numerical model is developed to examine the effect of thermal radiation on magnetohydrodynamic heat transfer flow of a micropolar fluid past a non-conducting wedge in presence of heat source/sink. In the model it is assumed that the fluid is viscous, incompressible and electrically conducting. The Hall and ion slip effects have also been taken into consideration. The model contains highly non-linear coupled partial differential equations which have been converted into ordinary differential equation by using the similarity transformations. These equations are then solved numerically by Shooting technique along with the Runge-Kutta-Fehlberg integration scheme for entire range of parameters with appropriate boundary conditions. The effects of various parameters involved in the problem have been studied with the help of graphs. Numerical values of skin friction coefficients and Nusselt number are presented in tabular form. The results showed that the micropolar fluids ar...
The Thermal diffusion effect on steady MHD heat and mass transfer flow near the lower stagnation ... more The Thermal diffusion effect on steady MHD heat and mass transfer flow near the lower stagnation point of an isothermal porous cylinder has been investigated. A viscous, electrically conducting, gray, absorbing-emitting radiation but a non scattering medium fluid has been taken. The thermal conductivity and viscosity of the fluid have been assumed to be dependent on temperature. The governing equations for the flow have been transformed into a system of non-dimensional coupled non-linear ordinary differential equations by using similarity transformations and finally solved by Runge-Kutta and shooting method. Velocity profiles, temperature distributions and concentration distributions for the flow have been presented for various values of Soret number, viscosity parameter, radiation parameter and thermal conductivity parameter. The skin friction factor, local Nusselt number and Sherwood number are also calculated for all the parameters involved in the problem. It has been observed that the velocity and concentration increase with the increase in Soret number, while temperature decreases.
In this paper, the numerical solution for heat transfer through a rotating heat pipe is studied a... more In this paper, the numerical solution for heat transfer through a rotating heat pipe is studied and a sensitivity analysis is presented by using statistical experimental design technique. Graphene oxide-molybdenum disulfide (GO-MoS2) hybrid nanofluid is taken as working fluid inside the pipe. The impact of the heat pipe parameters (rotation speed, initial mass, temperature difference) on the heat transfer and liquid film thickness is investigated. The mathematical model coupling the fluid mass flow rate and liquid film evolution equations in evaporator, adiabatic, and condenser zones of the heat pipe is constructed. The mathematical model is solved by implementation of “Particle Swarm Optimization” along with the finite difference method. The outcomes demonstrate that hybrid nanoparticles help to improve the heat transfer through the heat pipe and reduce liquid film thickness. The heat transfer rises with increasing temperature difference and reducing inlet mass, and it reduces slig...
International Journal for Computational Methods in Engineering Science and Mechanics
Abstract In this paper, magneto-hydrodynamic flow of four different nanoliquids is presented. Two... more Abstract In this paper, magneto-hydrodynamic flow of four different nanoliquids is presented. Two types of nanoparticles, viz. alumina and CuO are considered in water and ethylene glycol as base fluids. Appropriate models for nanoliquid physical properties are considered to incorporate the nanoparticle aggregation effects, nanoparticle shape, and size of the nanoparticles. Similarity transformations are used to convert the partial differential equations of the flow to nonlinear ordinary differential equations. The resultant system of equations is solved by Runge–Kutta finite difference method and an error function is designed which is optimized by using a metaheuristic algorithm, namely particle swarm optimization. The effect of flow parameters, viz. mass transfer parameter and Hartmann number and the nanoliquid parameters like nature of the base liquid, nanoparticle material, nanoparticle size, concentration of nanoparticle in base liquid on velocity distributions have been analyzed and discussed. The nanoparticle concentration and the particle size are found to have a significant role in the nanoliquid flow in the channel. The numerical results obtained from the proposed numerical method are validated with the previously published work under some special cases. The proposed numerical method holds excellent potential in mathematical modeling problems where the resultant equations are nonlinear coupled ordinary differential equations with unknown initial or boundary conditions.
Heat and mass transfer characteristics and the flow behavior on MHD flow near the lower stagnatio... more Heat and mass transfer characteristics and the flow behavior on MHD flow near the lower stagnation point of a porous isothermal horizontal circular cylinder have been studied. The equations of conservation of mass, momentum, energy and concentration which govern the case study of heat and mass transfer flow have been obtained. These equations have been transformed into a system of non-dimensional coupled non-linear ordinary differential equations by using similarity transformations and finally solved by Runge-Kutta and shooting method. It has been assumed that the fluid is incompressible, absorbing-emitting radiation and viscous, with temperature dependent viscosity and temperature dependent thermal conductivity in the presence of radiation. Velocity profiles, temperature distributions and concentration distributions for the flow have been presented for various values of radiation parameter, viscosity variation parameter, thermal conductivity variation parameter, Prandtl number and ...
World Academy of Science, Engineering and Technology, International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering, 2015
Abstract—This paper deals with the theoretical and numerical investigation of magneto hydrodynami... more Abstract—This paper deals with the theoretical and numerical investigation of magneto hydrodynamic boundary layer flow of a nanofluid past a wedge shaped wick in heat pipe used for the cooling of electronic components and different type of machines. To incorporate the effect of nanoparticle diameter, concentration of nanoparticles in the pure fluid, nanothermal layer formed around the nanoparticle and Brownian motion of nanoparticles etc., appropriate models are used for the effective thermal and physical properties of nanofluids. To model the rotation of nanoparticles inside the base fluid, microfluidics theory is used. In this investigation ethylene glycol (EG) based nanofluids, are taken into account. The non-linear equations governing the flow and heat transfer are solved by using a very effective particle swarm optimization technique along with Runge-Kutta method. The values of heat transfer coefficient are found for different parameters involved in the formulation viz. nanopar...
The stability of the interface formed by a viscoelastic nanofluid and viscous incompressible flui... more The stability of the interface formed by a viscoelastic nanofluid and viscous incompressible fluid is examined here. The layout is taken in such a way that the viscoelastic nanofluid lies above the viscous fluid, and therefore, the interface experiences Rayleigh–Taylor type instability. The power-law viscoelastic liquid is considered for the linear stability analysis and the potential flow theory of viscous fluids is enforced to solve the mathematical equations. This theory includes the viscosity of the fluids in the analysis, while the flow is considering as irrotational. The stress balance equation at the interface contains normal viscous stresses and their difference is neutralized by interfacial tension. An algebraic equation of second degree is achieved and stability/instability is discussed based on the negative/positive roots of this equation. The response of flow parameters is studied by the various plots based on the growth rate parameter. It is found that the perturbation ...
International Communications in Heat and Mass Transfer, 2016
Abstract In this work, a viscous potential flow theory is used to study the nonlinear Kelvin-Helm... more Abstract In this work, a viscous potential flow theory is used to study the nonlinear Kelvin-Helmholtz instability of the interface between two viscous, incompressible and thermally conducting fluids, when the phases are enclosed between two horizontal cylindrical surfaces coaxial with the interface and when there is mass and heat transfer across the interface. The method of multiple time expansions is applied and it is shown that the evolution of amplitudes is governed by a nonlinear first order partial differential equation. The various stability criteria are discussed both analytically and numerically, stability diagrams are studied graphically. It is observed that the heat and mass transfer has destabilizing effect on the stability of the system in the nonlinear analysis.
In this paper a numerical model is developed to examine the effect of thermal radiation on magnet... more In this paper a numerical model is developed to examine the effect of thermal radiation on magnetohydrodynamic heat transfer flow of a micropolar fluid past a non-conducting wedge in presence of heat source/sink. In the model it is assumed that the fluid is viscous, incompressible and electrically conducting. The Hall and ion slip effects have also been taken into consideration. The model contains highly non-linear coupled partial differential equations which have been converted into ordinary differential equation by using the similarity transformations. These equations are then solved numerically by Shooting technique along with the Runge-Kutta-Fehlberg integration scheme for entire range of parameters with appropriate boundary conditions. The effects of various parameters involved in the problem have been studied with the help of graphs. Numerical values of skin friction coefficients and Nusselt number are presented in tabular form. The results showed that the micropolar fluids ar...
The Thermal diffusion effect on steady MHD heat and mass transfer flow near the lower stagnation ... more The Thermal diffusion effect on steady MHD heat and mass transfer flow near the lower stagnation point of an isothermal porous cylinder has been investigated. A viscous, electrically conducting, gray, absorbing-emitting radiation but a non scattering medium fluid has been taken. The thermal conductivity and viscosity of the fluid have been assumed to be dependent on temperature. The governing equations for the flow have been transformed into a system of non-dimensional coupled non-linear ordinary differential equations by using similarity transformations and finally solved by Runge-Kutta and shooting method. Velocity profiles, temperature distributions and concentration distributions for the flow have been presented for various values of Soret number, viscosity parameter, radiation parameter and thermal conductivity parameter. The skin friction factor, local Nusselt number and Sherwood number are also calculated for all the parameters involved in the problem. It has been observed that the velocity and concentration increase with the increase in Soret number, while temperature decreases.
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