The Experts below are selected from a list of 2262 Experts worldwide ranked by ideXlab platform
Takashi Masuoka - One of the best experts on this subject based on the ideXlab platform.
-
the rayleigh stokes problem for a heated generalized second grade fluid with fractional derivative model
Nonlinear Analysis-real World Applications, 2006Co-Authors: Fang Shen, Wenchang Tan, Yaohua Zhao, Takashi MasuokaAbstract:Abstract The Rayleigh–Stokes problem for a generalized second grade fluid subject to a flow on a heated flat plate and within a heated edge was investigated. For description of such a viscoelastic fluid, fractional calculus approach in the constitutive relationship model was used. Exact solutions of the velocity and temperature fields were obtained using the Fourier Sine Transform and the fractional Laplace Transform. The well-known solutions of the Stokes’ first problem for a viscous Newtonian fluid, as well as those corresponding to a second grade fluid, appear in limiting cases of our results.
-
stokes first problem for an oldroyd b fluid in a porous half space
Physics of Fluids, 2005Co-Authors: Wenchang Tan, Takashi MasuokaAbstract:Based on a modified Darcy’s law for a viscoelastic fluid, Stokes’ first problem was extended to that for an Oldroyd-B fluid in a porous half space. By using Fourier Sine Transform, an exact solution was obtained. In contrast to the classical Stokes’ first problem for a clear fluid, there is a y-dependent steady state solution for an Oldroyd-B fluid in the porous half space, which is a damping exponential function with respect to the distance from the flat plate. The thickness of the boundary layer, which tends to be a limited value, is also different from that of a clear fluid. The effect of viscoelasticity on the unsteady flow in porous media is investigated. It was found if α>1∕4[(αt∕Re)+Re]2, oscillations in velocity occur obviously and the system exhibits viscoelastic behaviors, where α and αt are nondimensional relaxation and retardation times, respectively, Re is Reynold number in porous media. Some previous solutions of Stokes’ first problem corresponding to Maxwell fluid and Newtonian fluid in por...
Wenchang Tan - One of the best experts on this subject based on the ideXlab platform.
-
the rayleigh stokes problem for a heated generalized second grade fluid with fractional derivative model
Nonlinear Analysis-real World Applications, 2006Co-Authors: Fang Shen, Wenchang Tan, Yaohua Zhao, Takashi MasuokaAbstract:Abstract The Rayleigh–Stokes problem for a generalized second grade fluid subject to a flow on a heated flat plate and within a heated edge was investigated. For description of such a viscoelastic fluid, fractional calculus approach in the constitutive relationship model was used. Exact solutions of the velocity and temperature fields were obtained using the Fourier Sine Transform and the fractional Laplace Transform. The well-known solutions of the Stokes’ first problem for a viscous Newtonian fluid, as well as those corresponding to a second grade fluid, appear in limiting cases of our results.
-
stokes first problem for an oldroyd b fluid in a porous half space
Physics of Fluids, 2005Co-Authors: Wenchang Tan, Takashi MasuokaAbstract:Based on a modified Darcy’s law for a viscoelastic fluid, Stokes’ first problem was extended to that for an Oldroyd-B fluid in a porous half space. By using Fourier Sine Transform, an exact solution was obtained. In contrast to the classical Stokes’ first problem for a clear fluid, there is a y-dependent steady state solution for an Oldroyd-B fluid in the porous half space, which is a damping exponential function with respect to the distance from the flat plate. The thickness of the boundary layer, which tends to be a limited value, is also different from that of a clear fluid. The effect of viscoelasticity on the unsteady flow in porous media is investigated. It was found if α>1∕4[(αt∕Re)+Re]2, oscillations in velocity occur obviously and the system exhibits viscoelastic behaviors, where α and αt are nondimensional relaxation and retardation times, respectively, Re is Reynold number in porous media. Some previous solutions of Stokes’ first problem corresponding to Maxwell fluid and Newtonian fluid in por...
Fang Shen - One of the best experts on this subject based on the ideXlab platform.
-
the rayleigh stokes problem for a heated generalized second grade fluid with fractional derivative model
Nonlinear Analysis-real World Applications, 2006Co-Authors: Fang Shen, Wenchang Tan, Yaohua Zhao, Takashi MasuokaAbstract:Abstract The Rayleigh–Stokes problem for a generalized second grade fluid subject to a flow on a heated flat plate and within a heated edge was investigated. For description of such a viscoelastic fluid, fractional calculus approach in the constitutive relationship model was used. Exact solutions of the velocity and temperature fields were obtained using the Fourier Sine Transform and the fractional Laplace Transform. The well-known solutions of the Stokes’ first problem for a viscous Newtonian fluid, as well as those corresponding to a second grade fluid, appear in limiting cases of our results.
Corina Fetecau - One of the best experts on this subject based on the ideXlab platform.
-
a note on the second problem of stokes for maxwell fluids
International Journal of Non-linear Mechanics, 2009Co-Authors: Corina Fetecau, Muhammad Jamil, Constantin Fetecau, I SiddiqueAbstract:Abstract New exact solutions corresponding to the second problem of Stokes for Maxwell fluids have been established by means of Laplace Transforms. For large times, these solutions reduce to the well-known steady-state solutions which are periodic in time and independent of the initial conditions. Furthermore, the transient solutions are in accordance with the previous solutions obtained using the Fourier Sine Transform. The required time to get the steady-state is determined by graphical illustrations. This time decreases if the frequency of the velocity increases. The effects of the material parameters on the decay of the transients in time are also investigated by graphs.
-
analytic solution for mhd transient rotating flow of a second grade fluid in a porous space
Nonlinear Analysis-real World Applications, 2008Co-Authors: Corina Fetecau, Muhammad SajidAbstract:This article looks into the unsteady rotating magnetohydrodynamic (MHD) flow of an incompressible second grade fluid in a porous half space. The flow is induced by a suddenly moved plate in its own plane. Both the fluid and plate rotate in unison with the same angular velocity. Analytic solution of the governing flow problem is obtained by using Fourier Sine Transform. Based on the modified Darcy's law, expression for velocity is obtained. The influence of pertinent parameters on the flow is delineated and appropriate conclusions are drawn. Several existing solutions of Newtonian fluid have been also deduced as limiting cases.
-
on mhd transient flow of a maxwell fluid in a porous medium and rotating frame
Physics Letters A, 2008Co-Authors: Corina Fetecau, Muhammad SajidAbstract:Abstract Analytic solution for unsteady magnetohydrodynamic (MHD) flow is constructed in a rotating non-Newtonian fluid through a porous medium. Constitutive equations for a Maxwell fluid have been taken into consideration. The hydromagnetic flow in the uniformly rotating fluid is generated by a suddenly moved infinite plate in its own plane. Analytic solution of the governing flow problem is obtained by means of the Fourier Sine Transform. It is shown that the obtained solution satisfies both the associate partial differential equation and the initial and boundary conditions. The solution for a Navier–Stokes fluid is recovered if λ → 0 . The steady state solution is also obtained for t → ∞ .
Hyder Ali Muttaqi S Shah - One of the best experts on this subject based on the ideXlab platform.
-
some accelerated flows of generalized oldroyd b fluid between two side walls perpendicular to the plate
Nonlinear Analysis-real World Applications, 2009Co-Authors: Hyder Ali Muttaqi S ShahAbstract:This paper deals with some accelerated flows of generalized Oldroyd-B fluid between two side walls perpendicular to the plate. The fractional calculus approach is used in the constitutive relationship of the Oldroyd-B fluid. The exact analytic solution is obtained by means of mixed Fourier Sine Transform and discrete Laplace Transform for fractional derivative.