Analytical solutions of temperature distributions and the Nusselt numbers in forced convection are reported for flow through infinitely long parallel plates, where the upper plate moves in the flow direction with cons...Analytical solutions of temperature distributions and the Nusselt numbers in forced convection are reported for flow through infinitely long parallel plates, where the upper plate moves in the flow direction with constant velocity and the lower plate is kept stationary. The flow is assumed to be laminar, both hydro-dynamically and thermally fully developed, taking into account the effect of viscous dissipation of the flowing fluid. Both the plates being kept at specified and at different constant heat fluxes are considered as thermal boundary conditions. The solutions obtained from energy equation are in terms of Brinkman number, dimensionless velocity and heat flux ratio. These parameters greatly influence and give complete understanding on heat transfer rates that has potentials for designing and analyzing energy equipment and processes.展开更多
The shear-thinning/thickening effects on the plane Couette-Poiseuille flow with a uniform crossflow are studied. The detailed solution procedures for both theo- retical and numerical purposes are given. In order to cl...The shear-thinning/thickening effects on the plane Couette-Poiseuille flow with a uniform crossflow are studied. The detailed solution procedures for both theo- retical and numerical purposes are given. In order to clarify the difference between the Newtonian flow and the power-law flow, all cases of the plane Couette-Poiseuille flows with uniform crossflows for different power indexes are assigned to the phase diagram in the parameter plane corresponding to the Couette number and the crossflow Reynolds number. The effects of shear-thinning/thickening on the phase diagram are discussed. An important feature of the shear-thinning circumstance distinguished from the shear- thickening circumstance is discovered.展开更多
The current manuscript is reported about the eiectro-osmotic Couette-Poiseuille ftow of power law Al2O3- PVC nanofluid through a channel, in which upper wall is moving with constant velocity. The influences of magneti...The current manuscript is reported about the eiectro-osmotic Couette-Poiseuille ftow of power law Al2O3- PVC nanofluid through a channel, in which upper wall is moving with constant velocity. The influences of magnetic field, mixed convection, joule heating, and viscous dissipation are also incorporated. The flow is generated because of constant pressure gradient in axial direction. The resulting flow problem is coupled nonlinear ordinary differential equations, which are at first modeled and then transform into dimensionless form through appropriate transformation. Analytical solution of the governing is carried out. The impact of modified Brinkman number, modified Magnetic field, electro-osmotic parameters on velocity and temperature are examined graphically. From the results, it is concluded that the Skin friction at moving isolated wail decreases with the increase of electro-osmotic parameter and reverse behavior for Nusselt number at heated stationary wall occur.展开更多
Two-dimensional viscous flow in a straight channel was studied. The steadyNavier-Stokes equations were linearized on the assumption of small disurbance from theCouette-Poiseuille flow, leading to an eigenvalue equatio...Two-dimensional viscous flow in a straight channel was studied. The steadyNavier-Stokes equations were linearized on the assumption of small disurbance from theCouette-Poiseuille flow, leading to an eigenvalue equation resembling the Orr-Sommerfeld equation.The eigenvalues determine the rate of decay for the stationary perturbation. Asymptotic forms of thedownstream eigenvalues were derived in the limiting cases of small and large Reynolds number, forthe flow with a general mass flux per unit width, and thus the work of Wilson (1969) and Stocker andDuck (1995) was generalized. The asymptotic results are in agreement with numerical ones presentedby Song and Chen (1995).展开更多
The problem` considered is that of two-dimensional viscous flow in a straightchannel. The decay of a stationary perturbation from the Couette-poiseuille flow in the downstream is sought A differential eigenvahue equat...The problem` considered is that of two-dimensional viscous flow in a straightchannel. The decay of a stationary perturbation from the Couette-poiseuille flow in the downstream is sought A differential eigenvahue equation resembling the orr-Sommerfeld equation is solved by using a spectral method and an imitial-vahue method(the compound matuix method )for values of the Reynolds number R between oo and 2000 The eigenvahues are presented for several of interesting cases with differentmeasures of mass flux ,These eigenvalues determine the rate of decay for the purturbation.展开更多
The problem considered is that of two-dimensional viscous flow in a straightchannel.The decay of a stationary perturbation from the Couette=Poiseuille flow in the douwnstream is sought.A differential eigenvalue equati...The problem considered is that of two-dimensional viscous flow in a straightchannel.The decay of a stationary perturbation from the Couette=Poiseuille flow in the douwnstream is sought.A differential eigenvalue equation resembling the Orr-Sommerfeld equation is solved by using a spectral method and an initial-value method (the compound matrix method)for values of the Reynolds number R between O and 2000.The eigenvalues are presemed for several of interesting cases with differentmeasures of mass flux These eigenvalues derermine the rate of decay for the purturbation.展开更多
文摘Analytical solutions of temperature distributions and the Nusselt numbers in forced convection are reported for flow through infinitely long parallel plates, where the upper plate moves in the flow direction with constant velocity and the lower plate is kept stationary. The flow is assumed to be laminar, both hydro-dynamically and thermally fully developed, taking into account the effect of viscous dissipation of the flowing fluid. Both the plates being kept at specified and at different constant heat fluxes are considered as thermal boundary conditions. The solutions obtained from energy equation are in terms of Brinkman number, dimensionless velocity and heat flux ratio. These parameters greatly influence and give complete understanding on heat transfer rates that has potentials for designing and analyzing energy equipment and processes.
文摘The shear-thinning/thickening effects on the plane Couette-Poiseuille flow with a uniform crossflow are studied. The detailed solution procedures for both theo- retical and numerical purposes are given. In order to clarify the difference between the Newtonian flow and the power-law flow, all cases of the plane Couette-Poiseuille flows with uniform crossflows for different power indexes are assigned to the phase diagram in the parameter plane corresponding to the Couette number and the crossflow Reynolds number. The effects of shear-thinning/thickening on the phase diagram are discussed. An important feature of the shear-thinning circumstance distinguished from the shear- thickening circumstance is discovered.
文摘The current manuscript is reported about the eiectro-osmotic Couette-Poiseuille ftow of power law Al2O3- PVC nanofluid through a channel, in which upper wall is moving with constant velocity. The influences of magnetic field, mixed convection, joule heating, and viscous dissipation are also incorporated. The flow is generated because of constant pressure gradient in axial direction. The resulting flow problem is coupled nonlinear ordinary differential equations, which are at first modeled and then transform into dimensionless form through appropriate transformation. Analytical solution of the governing is carried out. The impact of modified Brinkman number, modified Magnetic field, electro-osmotic parameters on velocity and temperature are examined graphically. From the results, it is concluded that the Skin friction at moving isolated wail decreases with the increase of electro-osmotic parameter and reverse behavior for Nusselt number at heated stationary wall occur.
文摘Two-dimensional viscous flow in a straight channel was studied. The steadyNavier-Stokes equations were linearized on the assumption of small disurbance from theCouette-Poiseuille flow, leading to an eigenvalue equation resembling the Orr-Sommerfeld equation.The eigenvalues determine the rate of decay for the stationary perturbation. Asymptotic forms of thedownstream eigenvalues were derived in the limiting cases of small and large Reynolds number, forthe flow with a general mass flux per unit width, and thus the work of Wilson (1969) and Stocker andDuck (1995) was generalized. The asymptotic results are in agreement with numerical ones presentedby Song and Chen (1995).
文摘The problem` considered is that of two-dimensional viscous flow in a straightchannel. The decay of a stationary perturbation from the Couette-poiseuille flow in the downstream is sought A differential eigenvahue equation resembling the orr-Sommerfeld equation is solved by using a spectral method and an imitial-vahue method(the compound matuix method )for values of the Reynolds number R between oo and 2000 The eigenvahues are presented for several of interesting cases with differentmeasures of mass flux ,These eigenvalues determine the rate of decay for the purturbation.
文摘The problem considered is that of two-dimensional viscous flow in a straightchannel.The decay of a stationary perturbation from the Couette=Poiseuille flow in the douwnstream is sought.A differential eigenvalue equation resembling the Orr-Sommerfeld equation is solved by using a spectral method and an initial-value method (the compound matrix method)for values of the Reynolds number R between O and 2000.The eigenvalues are presemed for several of interesting cases with differentmeasures of mass flux These eigenvalues derermine the rate of decay for the purturbation.
