The Experts below are selected from a list of 51834 Experts worldwide ranked by ideXlab platform
Donald A. Nield - One of the best experts on this subject based on the ideXlab platform.
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double diffusive natural convective boundary layer flow of a nanofluid past a vertical plate
International Journal of Thermal Sciences, 2011Co-Authors: A. V. Kuznetsov, Donald A. NieldAbstract:The double-diffusive natural convective boundary-layer flow of a nanofluid past a vertical plate is studied analytically. The model used for the binary nanofluid incorporates the effects of Brownian motion and thermophoresis. In addition the thermal energy equations include regular diffusion and cross-diffusion terms. A Similarity Solution is presented. Numerical calculations were performed in order to obtain correlation formulas giving the reduced Nusselt number as a function of the various relevant parameters.
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the cheng minkowycz problem for the double diffusive natural convective boundary layer flow in a porous medium saturated by a nanofluid
International Journal of Heat and Mass Transfer, 2011Co-Authors: Donald A. Nield, A. V. KuznetsovAbstract:The paper presents an analytical treatment of double-diffusive nanofluid convection in a porous medium. The problem treated is natural convection past a vertical plate when the base fluid of the nanofluid is itself a binary fluid such as salty water. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis, while the Darcy model is used for the porous medium. In addition the thermal energy equations include regular diffusion and cross-diffusion terms. A Similarity Solution is presented.
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natural convective boundary layer flow of a nanofluid past a vertical plate
International Journal of Thermal Sciences, 2010Co-Authors: A. V. Kuznetsov, Donald A. NieldAbstract:The natural convective boundary-layer flow of a nanofluid past a vertical plate is studied analytically. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. A Similarity Solution is presented. This Solution depends on a Lewis number Le, a buoyancy-ratio number Nr, a Brownian motion number Nb, and a thermophoresis number Nt. For various values of Pr and Le, the variation of the reduced Nusselt number with Nr, Nb and Nt is expressed by correlation formulas. It was found that the reduced Nusselt number is a decreasing function of each of Nr, Nb and Nt.
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the cheng minkowycz problem for natural convective boundary layer flow in a porous medium saturated by a nanofluid
International Journal of Heat and Mass Transfer, 2009Co-Authors: Donald A. Nield, A. V. KuznetsovAbstract:Abstract The Cheng–Minkowycz problem of natural convection past a vertical plate, in a porous medium saturated by a nanofluid, is studied analytically. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. For the porous medium the Darcy model is employed. A Similarity Solution is presented. This Solution depends on a Lewis number Le, a buoyancy-ratio number Nr, a Brownian motion number Nb, and a thermophoresis number Nt. The dependency of the Nusslelt number on these four parameters is investigated.
A. V. Kuznetsov - One of the best experts on this subject based on the ideXlab platform.
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double diffusive natural convective boundary layer flow of a nanofluid past a vertical plate
International Journal of Thermal Sciences, 2011Co-Authors: A. V. Kuznetsov, Donald A. NieldAbstract:The double-diffusive natural convective boundary-layer flow of a nanofluid past a vertical plate is studied analytically. The model used for the binary nanofluid incorporates the effects of Brownian motion and thermophoresis. In addition the thermal energy equations include regular diffusion and cross-diffusion terms. A Similarity Solution is presented. Numerical calculations were performed in order to obtain correlation formulas giving the reduced Nusselt number as a function of the various relevant parameters.
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the cheng minkowycz problem for the double diffusive natural convective boundary layer flow in a porous medium saturated by a nanofluid
International Journal of Heat and Mass Transfer, 2011Co-Authors: Donald A. Nield, A. V. KuznetsovAbstract:The paper presents an analytical treatment of double-diffusive nanofluid convection in a porous medium. The problem treated is natural convection past a vertical plate when the base fluid of the nanofluid is itself a binary fluid such as salty water. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis, while the Darcy model is used for the porous medium. In addition the thermal energy equations include regular diffusion and cross-diffusion terms. A Similarity Solution is presented.
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natural convective boundary layer flow of a nanofluid past a vertical plate
International Journal of Thermal Sciences, 2010Co-Authors: A. V. Kuznetsov, Donald A. NieldAbstract:The natural convective boundary-layer flow of a nanofluid past a vertical plate is studied analytically. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. A Similarity Solution is presented. This Solution depends on a Lewis number Le, a buoyancy-ratio number Nr, a Brownian motion number Nb, and a thermophoresis number Nt. For various values of Pr and Le, the variation of the reduced Nusselt number with Nr, Nb and Nt is expressed by correlation formulas. It was found that the reduced Nusselt number is a decreasing function of each of Nr, Nb and Nt.
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the cheng minkowycz problem for natural convective boundary layer flow in a porous medium saturated by a nanofluid
International Journal of Heat and Mass Transfer, 2009Co-Authors: Donald A. Nield, A. V. KuznetsovAbstract:Abstract The Cheng–Minkowycz problem of natural convection past a vertical plate, in a porous medium saturated by a nanofluid, is studied analytically. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. For the porous medium the Darcy model is employed. A Similarity Solution is presented. This Solution depends on a Lewis number Le, a buoyancy-ratio number Nr, a Brownian motion number Nb, and a thermophoresis number Nt. The dependency of the Nusslelt number on these four parameters is investigated.
G C Layek - One of the best experts on this subject based on the ideXlab platform.
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Similarity Solution of mixed convective boundary layer slip flow over a vertical plate
Ain Shams Engineering Journal, 2013Co-Authors: Krishnendu Bhattacharyya, Swati Mukhopadhyay, G C LayekAbstract:Abstract Effects of slip at the boundary on the mixed convective boundary layer flow over a flat plate are investigated. Similarity transformations are employed to transform the governing partial differential equations into ordinary ones, which are then solved numerically by shooting method. The results are presented for different values of the governing parameters. Comparison with available results for certain cases is excellent. For increasing slip parameter, velocity increases at first but decreases after a point and thermal boundary layer becomes thinner in this case. Velocity overshoot and temperature overshoot are noted near the plate for increasing mixed convection parameter as well as both velocity and thermal slip parameters and also for Prandtl number.
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Similarity Solution of mhd boundary layer flow with diffusion and chemical reaction over a porous flat plate with suction blowing
Meccanica, 2012Co-Authors: Krishnendu Bhattacharyya, G C LayekAbstract:Similarity analysis of diffusion of chemically reactive solute distribution in MHD boundary layer flow of an electrically conducting incompressible fluid over a porous flat plate is presented. The reaction rate of the solute is considered inversely proportional along the plate. Adopting the Similarity transformation technique the governing equations are converted into the self-similar ordinary differential equations which are solved by shooting procedure using Runge-Kutta method. For increase of the Schmidt number the solute boundary layer thickness is reduced. Most importantly, the effects of reaction rate and order of reaction on concentration field are of conflicting natures, due to increasing reaction rate parameter the concentration decreases, but for the increase in order of reaction it increases. In presence of chemical reaction, the concentration profiles attain negative value when Schmidt number is large.
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slip effects on boundary layer stagnation point flow and heat transfer towards a shrinking sheet
International Journal of Heat and Mass Transfer, 2011Co-Authors: Krishnendu Bhattacharyya, Swati Mukhopadhyay, G C LayekAbstract:Abstract In the present study, we analyze the effects of partial slip on steady boundary layer stagnation-point flow of an incompressible fluid and heat transfer towards a shrinking sheet. Similarity transformation technique is adopted to obtain the self-similar ordinary differential equations and then the self-similar equations are solved numerically using shooting method. This investigation explores the conditions of the non-existence, existence, uniqueness and duality of the Solutions of self-similar equations numerically. Due to the increase of slip parameter ( δ ), the range of velocity ratio parameter ( c / a ) where the Similarity Solution exists, increases.
Krishnendu Bhattacharyya - One of the best experts on this subject based on the ideXlab platform.
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Similarity Solution of mixed convective boundary layer slip flow over a vertical plate
Ain Shams Engineering Journal, 2013Co-Authors: Krishnendu Bhattacharyya, Swati Mukhopadhyay, G C LayekAbstract:Abstract Effects of slip at the boundary on the mixed convective boundary layer flow over a flat plate are investigated. Similarity transformations are employed to transform the governing partial differential equations into ordinary ones, which are then solved numerically by shooting method. The results are presented for different values of the governing parameters. Comparison with available results for certain cases is excellent. For increasing slip parameter, velocity increases at first but decreases after a point and thermal boundary layer becomes thinner in this case. Velocity overshoot and temperature overshoot are noted near the plate for increasing mixed convection parameter as well as both velocity and thermal slip parameters and also for Prandtl number.
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analytic Solution for magnetohydrodynamic boundary layer flow of casson fluid over a stretching shrinking sheet with wall mass transfer
Chinese Physics B, 2013Co-Authors: Krishnendu Bhattacharyya, Tasawar Hayat, Ahmed AlsaediAbstract:In this analysis, the magnetohydrodynamic boundary layer flow of Casson fluid over a permeable stretching/shrinking sheet in the presence of wall mass transfer is studied. Using Similarity transformations, the governing equations are converted to an ordinary differential equation and then solved analytically. The introduction of a magnetic field changes the behavior of the entire flow dynamics in the shrinking sheet case and also has a major impact in the stretching sheet case. The Similarity Solution is always unique in the stretching case, and in the shrinking case the Solution shows dual nature for certain values of the parameters. For stronger magnetic field, the Similarity Solution for the shrinking sheet case becomes unique.
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Similarity Solution of mhd boundary layer flow with diffusion and chemical reaction over a porous flat plate with suction blowing
Meccanica, 2012Co-Authors: Krishnendu Bhattacharyya, G C LayekAbstract:Similarity analysis of diffusion of chemically reactive solute distribution in MHD boundary layer flow of an electrically conducting incompressible fluid over a porous flat plate is presented. The reaction rate of the solute is considered inversely proportional along the plate. Adopting the Similarity transformation technique the governing equations are converted into the self-similar ordinary differential equations which are solved by shooting procedure using Runge-Kutta method. For increase of the Schmidt number the solute boundary layer thickness is reduced. Most importantly, the effects of reaction rate and order of reaction on concentration field are of conflicting natures, due to increasing reaction rate parameter the concentration decreases, but for the increase in order of reaction it increases. In presence of chemical reaction, the concentration profiles attain negative value when Schmidt number is large.
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slip effects on boundary layer stagnation point flow and heat transfer towards a shrinking sheet
International Journal of Heat and Mass Transfer, 2011Co-Authors: Krishnendu Bhattacharyya, Swati Mukhopadhyay, G C LayekAbstract:Abstract In the present study, we analyze the effects of partial slip on steady boundary layer stagnation-point flow of an incompressible fluid and heat transfer towards a shrinking sheet. Similarity transformation technique is adopted to obtain the self-similar ordinary differential equations and then the self-similar equations are solved numerically using shooting method. This investigation explores the conditions of the non-existence, existence, uniqueness and duality of the Solutions of self-similar equations numerically. Due to the increase of slip parameter ( δ ), the range of velocity ratio parameter ( c / a ) where the Similarity Solution exists, increases.
A Aziz - One of the best experts on this subject based on the ideXlab platform.
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a Similarity Solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition
Communications in Nonlinear Science and Numerical Simulation, 2009Co-Authors: A AzizAbstract:Abstract This paper considers the classical problem of hydrodynamic and thermal boundary layers over a flat plate in a uniform stream of fluid. It is well known that Similarity Solutions of the energy equation are possible for the boundary conditions of constant surface temperature and constant heat flux. However, no such Solution has been attempted for the convective surface boundary condition. The paper demonstrates that a Similarity Solution is possible if the convective heat transfer associated with the hot fluid on the lower surface of the plate is proportional to x−1/2. Numerical Solutions of the resulting Similarity energy equation are provided for representative Prandtl numbers of 0.1, 0.72, and 10 and a range of values of the parameter characterizing the hot fluid convection process. For the case of constant heat transfer coefficient, the same data provide local Similarity Solutions.
