A fluid flows in an infinitely wide channel of height 2ℎ. The flow is steady, incompressible...
A fluid flows in an infinitely wide channel of height 2ℎ. The flow is steady, incompressible and laminar. A constant heat flux of magnitude q"w is applied on both walls.
a. Derive the governing equation for the temperature distribution in the section of the channel where both velocity and temperature profiles are fully developed.
b. Find the temperature distribution
.c. Using the temperature distribution calculate the Nusselt number.
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A fluid flows in an infinitely wide channel of height 2ℎ. The
flow is steady, incompressible...
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Considera steady, incompressible laminar flow of a Newtonian fluid in a pipe ignoring the effects of...
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Consider a fully developed laminar flow of an incompressible Newtonian fluid between two infinite parallel plates,...
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fluid mechanics
A steady, incompressible, and laminar flow of a fluid of viscosity u flows through an inclined narrow gap of a crack in the wall of length L and a constant width W shown in Figure Q1(b). Assume that the gap has a constant thickness of 7. The fluid flows down the inclined gap at an angle and in the positive x-direction. No pressure gradient is applied throughout the flow but there is gravitational effect. Derive an expression for...
1. As seenfrom figure, there is a laminar and viscous fluid flow betweentwo parallel plates where the one is moving with velocity y, other one is stationary. There exists pressure gradient in x direction. The bottom stationary plate is a porous plate andfluid is injected into the channel with V velocity. If theflow is steady, fully developed and incompressible flow, derive the velocity profile. Uo Vo
1. As seenfrom figure, there is a laminar and viscous fluid flow betweentwo parallel...
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3. Water flows at a uniform velocity of 1 em/s in a circular channel of diameter 2 cm and length 2 m. A uniform heat flux of 10 W/m2 is supplied at the surface. Assume laminar flow and developed flow and temperature. (a) Calculate the variation of the mixing cup temperature with distance and the Nusselt number. (b) If the mixing cup temperature at the inlet is 22 oC, calculate the mixing cup and wall temperatures at the outlet? (e)...
infinitely long and wide plates plates move in opposite directions with the constant velocities of Ui and U2 to create a laminar flow in the channel. There is no pressure gradient in the flow direction. Start with the N-S equations to derive an equation for the velocity profile in the channel. Calculate the average velocity in the channel, the volumetric flow rate per unit depth and the mass flow rate per unit depth for p-55 lbm/ft', /i=0.8 lbm/(ft.s) a=0.25 in.,...
The Navier-Stokes equations are a system of non-linear, partial-differential equations that describe fluid flows. In the incompressible limit, the density of the fluid may be regarded as a constant, and the system of equations becomes, Because of the non-linearities, there are very few exact solutions that are known for these equations. One of the exact solutions is pressure-driven channel (or pipe) flow, also known as Poiseuille flow. In this flow, all solid, no-slip walls are parallel to the x-axis, and...
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