The Experts below are selected from a list of 288 Experts worldwide ranked by ideXlab platform
Tasawar Hayat - One of the best experts on this subject based on the ideXlab platform.
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analytical study of cattaneo christov heat flux model for a boundary Layer Flow of oldroyd b fluid
Chinese Physics B, 2016Co-Authors: F M Abbasi, Tasawar Hayat, M Mustafa, S A Shehzad, Mohammed S AlhuthaliAbstract:We investigate the Cattaneo–Christov heat flux model for a two-dimensional laminar boundary Layer Flow of an incompressible Oldroyd-B fluid over a linearly stretching sheet. Mathematical formulation of the boundary Layer problems is given. The nonlinear partial differential equations are converted into the ordinary differential equations using similarity transformations. The dimensionless velocity and temperature profiles are obtained through optimal homotopy analysis method (OHAM). The influences of the physical parameters on the velocity and the temperature are pointed out. The results show that the temperature and the thermal boundary Layer thickness are smaller in the Cattaneo–Christov heat flux model than those in the Fourier's law of heat conduction.
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boundary Layer Flow of carreau fluid over a convectively heated stretching sheet
Applied Mathematics and Computation, 2014Co-Authors: Tasawar Hayat, Sadia Asad, M Mustafa, A AlsaediAbstract:Two-dimensional boundary Layer Flow of Carreau fluid past a permeable stretching sheet is studied. Heat transfer subject to convective boundary conditions is analyzed. The relevant equations are first simplified by using boundary Layer assumptions and reduced to self-similar forms by appropriate transformations. The problem is governed by various interesting parameters including power-law index (n), relaxation time ( λ 1 ), Prandtl number (Pr) and the Biot number (Bi). Series solutions are computed by homotopy analysis method (HAM). Fields are influenced appreciably with the variations of embedded parameters. Numerical values of skin friction coefficient and local Nusselt number are also tabulated.
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influence of thermal radiation on the boundary Layer Flow due to an exponentially stretching sheet
International Communications in Heat and Mass Transfer, 2008Co-Authors: Muhammad Sajid, Tasawar HayatAbstract:The effect of radiation on the boundary Layer Flow and heat transfer of a viscous fluid over an exponentially stretching sheet is studied. The homotopy analysis method (HAM) is employed to determine the convergent series expressions of velocity and temperature. The physical interpretation to these expressions is assigned through graphs. It is found that the effects of Prandtl and radiation numbers on the temperature are opposite.
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homotopy analysis of mhd boundary Layer Flow of an upper convected maxwell fluid
International Journal of Engineering Science, 2007Co-Authors: Tasawar Hayat, Muhammad SajidAbstract:The problem of a magnetohydrodynamic (MHD) boundary Layer Flow of an upper-convected Maxwell (UCM) fluid is considered for the analytical solution using homotopy analysis method (HAM). The non-linear partial differential equations are transformed to an ordinary differential equation first taking boundary Layer approximations into account and then using the similarity transformations. The analytical solution is presented in the form of an infinite series. The recurrence formulae for finding the coefficients are presented and the convergence is established. The effects of the Deborah number and MHD parameter is discussed on the velocity profiles and the skin friction coefficients. It is found that the results are in excellent agreement with the existing results in the literature for the case of hydrodynamic Flow.
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mhd boundary Layer Flow of an upper convected maxwell fluid in a porous channel
Theoretical and Computational Fluid Dynamics, 2006Co-Authors: Z Abbas, Muhammad Sajid, Tasawar HayatAbstract:Two-dimensional magnetohydrodynamic (MHD) boundary Layer Flow of an upper-convected Maxwell fluid is investigated in a channel. The walls of the channel are taken as porous. Using the similarity transformations and boundary Layer approximations, the nonlinear partial differential equations are reduced to an ordinary differential equation. The developed nonlinear equation is solved analytically using the homotopy analysis method. An expression for the analytic solution is derived in the form of a series. The convergence of the obtained series is shown. The effects of the Reynolds number Re, Deborah number De and Hartman number M are shown through graphs and discussed for both the suction and injection cases.
Anuar Mohd Ishak - One of the best experts on this subject based on the ideXlab platform.
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mhd boundary Layer Flow due to an exponentially stretching sheet with radiation effect
Sains Malaysiana, 2011Co-Authors: Anuar Mohd IshakAbstract:The effect of radiation on magnetohydrodynamic (MHD) boundary Layer Flow of a viscous fluid over an exponentially stretching sheet was studied. The governing system of partial differential equations was transformed into ordinary differential equations before being solved numerically by an implicit finite-difference method. The effects of the governing parameters on the Flow field and heat transfer characteristics were obtained and discussed. It was found that the local heat transfer rate at the surface decreases with increasing values of the magnetic and radiation parameters
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boundary Layer Flow of nanofluids over a moving surface in a Flowing fluid
International Journal of Thermal Sciences, 2010Co-Authors: Norfifah Bachok, Anuar Mohd IshakAbstract:The steady boundary-Layer Flow of a nanofluid past a moving semi-infinite flat plate in a uniform free stream is investigated. The plate is assumed to move in the same or opposite directions to the free stream. The resulting system of nonlinear ordinary differential equations is solved numerically using the Keller-box method. Numerical results are obtained for the skin-friction coefficient, the local Nusselt number and the local Sherwood number as well as the velocity, temperature and the nanoparticle volume fraction profiles for some values of the governing parameters, namely, the plate velocity parameter, Prandtl number, Lewis number, the Brownian motion parameter and the thermophoresis parameter. The results indicate that dual solutions exist when the plate and the free stream move in the opposite directions.
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thermal boundary Layer Flow over a stretching sheet in a micropolar fluid with radiation effect
Meccanica, 2010Co-Authors: Anuar Mohd IshakAbstract:In the present paper, we study the effects of radiation on the thermal boundary Layer Flow induced by a linearly stretching sheet immersed in an incompressible micropolar fluid with constant surface temperature. Similarity transformation is employed to transform the governing partial differential equations into ordinary ones, which are then solved numerically using the Runge-Kutta-Fehlberg method. Results for the local Nusselt number as well as the temperature profiles are presented for different values of the governing parameters. It is found that the heat transfer rate at the surface decreases in the presence of radiation. Comparison with known results for certain particular cases is excellent.
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boundary Layer Flow and heat transfer over an unsteady stretching vertical surface
Meccanica, 2009Co-Authors: Anuar Mohd Ishak, Roslinda Mohd NazarAbstract:The solution to the unsteady mixed convection boundary Layer Flow and heat transfer problem due to a stretching vertical surface is presented in this paper. The unsteadiness in the Flow and temperature fields is caused by the time-dependent of the stretching velocity and the surface temperature. The governing partial differential equations with three independent variables are first transformed into ordinary differential equations, before they are solved numerically by a finite-difference scheme. The effects of the unsteadiness parameter, buoyancy parameter and Prandtl number on the Flow and heat transfer characteristics are thoroughly examined. Both assisting and opposing buoyant Flows are considered. It is observed that for assisting Flow, the solutions exist for all values of buoyancy parameter, whereas for opposing Flow, they exist only if the magnitude of the buoyancy parameter is small. Comparison with known results for steady-state Flow is excellent.
Muhammad Sajid - One of the best experts on this subject based on the ideXlab platform.
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influence of thermal radiation on the boundary Layer Flow due to an exponentially stretching sheet
International Communications in Heat and Mass Transfer, 2008Co-Authors: Muhammad Sajid, Tasawar HayatAbstract:The effect of radiation on the boundary Layer Flow and heat transfer of a viscous fluid over an exponentially stretching sheet is studied. The homotopy analysis method (HAM) is employed to determine the convergent series expressions of velocity and temperature. The physical interpretation to these expressions is assigned through graphs. It is found that the effects of Prandtl and radiation numbers on the temperature are opposite.
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homotopy analysis of mhd boundary Layer Flow of an upper convected maxwell fluid
International Journal of Engineering Science, 2007Co-Authors: Tasawar Hayat, Muhammad SajidAbstract:The problem of a magnetohydrodynamic (MHD) boundary Layer Flow of an upper-convected Maxwell (UCM) fluid is considered for the analytical solution using homotopy analysis method (HAM). The non-linear partial differential equations are transformed to an ordinary differential equation first taking boundary Layer approximations into account and then using the similarity transformations. The analytical solution is presented in the form of an infinite series. The recurrence formulae for finding the coefficients are presented and the convergence is established. The effects of the Deborah number and MHD parameter is discussed on the velocity profiles and the skin friction coefficients. It is found that the results are in excellent agreement with the existing results in the literature for the case of hydrodynamic Flow.
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mhd boundary Layer Flow of an upper convected maxwell fluid in a porous channel
Theoretical and Computational Fluid Dynamics, 2006Co-Authors: Z Abbas, Muhammad Sajid, Tasawar HayatAbstract:Two-dimensional magnetohydrodynamic (MHD) boundary Layer Flow of an upper-convected Maxwell fluid is investigated in a channel. The walls of the channel are taken as porous. Using the similarity transformations and boundary Layer approximations, the nonlinear partial differential equations are reduced to an ordinary differential equation. The developed nonlinear equation is solved analytically using the homotopy analysis method. An expression for the analytic solution is derived in the form of a series. The convergence of the obtained series is shown. The effects of the Reynolds number Re, Deborah number De and Hartman number M are shown through graphs and discussed for both the suction and injection cases.
Roslinda Mohd Nazar - One of the best experts on this subject based on the ideXlab platform.
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boundary Layer Flow and heat transfer over a stretching sheet with newtonian heating
Journal of The Taiwan Institute of Chemical Engineers, 2010Co-Authors: Mohd Zuki Salleh, Roslinda Mohd NazarAbstract:The steady boundary Layer Flow and heat transfer over a stretching sheet with Newtonian heating in which the heat transfer from the surface is proportional to the local surface temperature, is considered in this study. The transformed governing nonlinear boundary Layer equations are solved numerically by a finite-difference method. Numerical solutions are obtained for the heat transfer from the stretching sheet and the wall temperature for a large range of values of the Prandtl number Pr. The Newtonian heating is controlled by a dimensionless conjugate parameter, which varies between zero (insulated wall) and infinity (wall temperature remains constant). The important findings in this study are the variation of the surface temperature and heat flux from the stretching surface with the conjugate parameter and Prandtl number. It is found that these parameters have essential effects on the heat transfer characteristics.
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boundary Layer Flow and heat transfer over an unsteady stretching vertical surface
Meccanica, 2009Co-Authors: Anuar Mohd Ishak, Roslinda Mohd NazarAbstract:The solution to the unsteady mixed convection boundary Layer Flow and heat transfer problem due to a stretching vertical surface is presented in this paper. The unsteadiness in the Flow and temperature fields is caused by the time-dependent of the stretching velocity and the surface temperature. The governing partial differential equations with three independent variables are first transformed into ordinary differential equations, before they are solved numerically by a finite-difference scheme. The effects of the unsteadiness parameter, buoyancy parameter and Prandtl number on the Flow and heat transfer characteristics are thoroughly examined. Both assisting and opposing buoyant Flows are considered. It is observed that for assisting Flow, the solutions exist for all values of buoyancy parameter, whereas for opposing Flow, they exist only if the magnitude of the buoyancy parameter is small. Comparison with known results for steady-state Flow is excellent.
S Nadeem - One of the best experts on this subject based on the ideXlab platform.
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boundary Layer Flow of nanofluid over an exponentially stretching surface
Nanoscale Research Letters, 2012Co-Authors: S NadeemAbstract:The steady boundary Layer Flow of nanofluid over an exponential stretching surface is investigated analytically. The transport equations include the effects of Brownian motion parameter and thermophoresis parameter. The highly nonlinear coupled partial differential equations are simplified with the help of suitable similarity transformations. The reduced equations are then solved analytically with the help of homotopy analysis method (HAM). The convergence of HAM solutions are obtained by plotting h-curve. The expressions for velocity, temperature and nanoparticle volume fraction are computed for some values of the parameters namely, suction injection parameter α, Lewis number Le, the Brownian motion parameter Nb and thermophoresis parameter Nt.
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ham solutions for boundary Layer Flow in the region of the stagnation point towards a stretching sheet
Communications in Nonlinear Science and Numerical Simulation, 2010Co-Authors: S Nadeem, Anwar Hussain, Majid KhanAbstract:Abstract In the present study, we have described the stagnation point Flow of a viscous fluid towards a stretching sheet. The complete analytical solution of the boundary Layer equation has been obtained by homotopy analysis method (HAM). The solutions are compared with the available numerical results obtained by Nazar et al. [Nazar R, Amin N, Filip D, Pop I. Unsteady boundary Layer Flow in the region of the stagnation point on a stretching sheet. Int J Eng Sci 2004;42:1241–53] and a good agreement is found. The convergence region is also computed which shows the validity of the HAM solution.
