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Problem 1 An incompressible, viscous fluid with density, p, flows past a solid flat plate which...
3. An incompressible, viscous fluid with density, p, flows past a solid flat plate which has...
3. An incompressible, viscous fluid with density, p, flows past a solid flat plate which has a depth, b, into the page. The flow initially has a uniform velocity U., before contacting the plate. After contact with the plate at a distance x downstream from the leading edge, the flow velocity profile is altered due to the no-slip condition. The velocity profile at location x is approximated to have a linear shape, u = U. z for y s 8...
Home looking Files X Exam2(2).pdf + Exam2%20(2).pdf 4/4 3. An incompressible, viscous fluid with density, p,...
Home looking Files X Exam2(2).pdf + Exam2%20(2).pdf 4/4 3. An incompressible, viscous fluid with density, p, flows past a solid flat plate which has a depth, b, into the page. The flow initially has a uniform velocity U... before contacting the plate. After contact with the plate at a distance x downstream from the leading edge, the flow velocity profile is altered due to the no-slip condition. The velocity profile at location is approximated to have a linear shape, u...
Water can be considered as a non-viscous incompressible fluid of density p. A laboratory set-up is...
Water can be considered as a non-viscous incompressible fluid of density p. A laboratory set-up is such that water flows through a pipe, exhibiting a laminar and steady-state flow. At the top end of the pipe, the flow tube has a cross-sectional area A and point 1 (located on the central streamline) is exposed to the ambient environment. The pipe drops through a A vertical distance h7 while its area decreases to when it reaches point 2 (also on the...
Consider laminar flow of an incompressible fluid past a flat plate. The boundary layer velocity profile...
Consider laminar flow of an incompressible fluid past a flat plate. The boundary layer velocity profile is given as u = U sin () a. Determine the boundary layer thicknesses 8, 8, as a function of x. Express in terms of Reynolds number. b. Using momentum integral theory, determine the wall shear stress tw, as a func. of x. Express in terms of Reynolds number. C. Determine the friction drag coefficient, Cof-
An incompressible fluid flows between two porous, parallel flat plates as shown in the Figure below....
An incompressible fluid flows between two porous, parallel flat plates as shown in the Figure below. An identical fluid is injected at a constant speed V through the bottom plate and simultaneously extracted from the upper plate at the same velocity. There is no gravity force in x and y directions (g-g,-0). Assume the flow to be steady, fully-developed, 2D, and the pressure gradient in the x direction to be a constant P = constant). (a) Write the continuity equation...
An incompressible, viscous fluid is placed between horizontal, infinite, parallel plates as shown below. The two...
An incompressible, viscous fluid is placed between horizontal, infinite, parallel plates as shown below. The two plates move in opposite directions with constant velocities U 10 m/s and U2 = 5 m/s as shown. The pressure gradient in the x direction is zero and the only external force is gravity (in the y-direction). Use the Navier-Stokes equations to determine where the fluid velocity is zero (in terms of a fraction of b, i.e. 0.75 for y-75% of b) Enter Number...
An incompressible fluid flows past an impermeable flat plate with a uniform inlet profile (U0 )...
An incompressible fluid flows past an impermeable flat plate
with a uniform inlet profile (U0 ) and a cubic
polynomial exit profile:
where
Compute the volumetric flow rate (Q=?
cm3/s) across the top surface of the
control volume.
Consider the width of the solid plate (into paper) to be b=10
cm.
U0= 15 cm/s
Air at 20°C and 1 atm flows in
a 25-cm-diameter duct at V1=20 m/s. The exit is choked
by a 90° cone.
Estimate the force of...
Please make the hand writing legible. Thanks Consider the situation depicted below, in which an incompressible...
Please make the hand writing legible. Thanks
Consider the situation depicted below, in which an incompressible fluid flows over a flat surface of solid. Upstream of the surface, the fluid has velocity U and uniform temperature To. As the fluid is viscous, both a momentum boundary layer, and a thermal boundary layer form, and heat is transferred to the solid surface. A convective coefficient h can be used to describe the dimensional heat transfer rate to the solid, and is...
X Incorrect. The boundary-layer thickness, 5, on a smooth flat plate in an incompressible flow without...
X Incorrect. The boundary-layer thickness, 5, on a smooth flat plate in an incompressible flow without pressure gradients depends on the freestream speed, U, the fluid density, p, the fluid viscosity, u, and the distance from the leading edge of the plate, x. (a) Express these variables in dimensionless form and (b) calculate dimensionless parameter (proportional to x) with x 0.150 m, p 385 kg/m3, U 0.147 m/s, u 0.2 x 104 N-s/m2. Click here to enter or edit your...
3.54 A fluid of constant density p flows steadily over a cylinder that is located far...
3.54 A fluid of constant density p flows steadily over a cylinder that is located far from any solid boundary, as shown in Figure P3.54. Upstream, the flow has a uniform velocity U, and downstream the velocity distribution in the wake is triangular with a maximum value of U1, as shown below. The pressure is atmospheric everywhere. For the control volume shown, the r-component of the velocity is uniform on every surface of the control volume and equal to U...
3. An incompressible, viscous fluid with density, p, flows past a solid flat plate which has a depth, b, into the page. The flow initially has a uniform velocity U., before contacting the plate. After contact with the plate at a distance x downstream from the leading edge, the flow velocity profile is altered due to the no-slip condition. The velocity profile at location x is approximated to have a linear shape, u = U. z for y s 8...
Home looking Files X Exam2(2).pdf + Exam2%20(2).pdf 4/4 3. An incompressible, viscous fluid with density, p, flows past a solid flat plate which has a depth, b, into the page. The flow initially has a uniform velocity U... before contacting the plate. After contact with the plate at a distance x downstream from the leading edge, the flow velocity profile is altered due to the no-slip condition. The velocity profile at location is approximated to have a linear shape, u...
Water can be considered as a non-viscous incompressible fluid of density p. A laboratory set-up is such that water flows through a pipe, exhibiting a laminar and steady-state flow. At the top end of the pipe, the flow tube has a cross-sectional area A and point 1 (located on the central streamline) is exposed to the ambient environment. The pipe drops through a A vertical distance h7 while its area decreases to when it reaches point 2 (also on the...
Consider laminar flow of an incompressible fluid past a flat plate. The boundary layer velocity profile is given as u = U sin () a. Determine the boundary layer thicknesses 8, 8, as a function of x. Express in terms of Reynolds number. b. Using momentum integral theory, determine the wall shear stress tw, as a func. of x. Express in terms of Reynolds number. C. Determine the friction drag coefficient, Cof-
An incompressible fluid flows between two porous, parallel flat plates as shown in the Figure below. An identical fluid is injected at a constant speed V through the bottom plate and simultaneously extracted from the upper plate at the same velocity. There is no gravity force in x and y directions (g-g,-0). Assume the flow to be steady, fully-developed, 2D, and the pressure gradient in the x direction to be a constant P = constant). (a) Write the continuity equation...
An incompressible, viscous fluid is placed between horizontal, infinite, parallel plates as shown below. The two plates move in opposite directions with constant velocities U 10 m/s and U2 = 5 m/s as shown. The pressure gradient in the x direction is zero and the only external force is gravity (in the y-direction). Use the Navier-Stokes equations to determine where the fluid velocity is zero (in terms of a fraction of b, i.e. 0.75 for y-75% of b) Enter Number...
An incompressible fluid flows past an impermeable flat plate
with a uniform inlet profile (U0 ) and a cubic
polynomial exit profile:
where
Compute the volumetric flow rate (Q=?
cm3/s) across the top surface of the
control volume.
Consider the width of the solid plate (into paper) to be b=10
cm.
U0= 15 cm/s
Air at 20°C and 1 atm flows in
a 25-cm-diameter duct at V1=20 m/s. The exit is choked
by a 90° cone.
Estimate the force of...
Please make the hand writing legible. Thanks
Consider the situation depicted below, in which an incompressible fluid flows over a flat surface of solid. Upstream of the surface, the fluid has velocity U and uniform temperature To. As the fluid is viscous, both a momentum boundary layer, and a thermal boundary layer form, and heat is transferred to the solid surface. A convective coefficient h can be used to describe the dimensional heat transfer rate to the solid, and is...
X Incorrect. The boundary-layer thickness, 5, on a smooth flat plate in an incompressible flow without pressure gradients depends on the freestream speed, U, the fluid density, p, the fluid viscosity, u, and the distance from the leading edge of the plate, x. (a) Express these variables in dimensionless form and (b) calculate dimensionless parameter (proportional to x) with x 0.150 m, p 385 kg/m3, U 0.147 m/s, u 0.2 x 104 N-s/m2. Click here to enter or edit your...
3.54 A fluid of constant density p flows steadily over a cylinder that is located far from any solid boundary, as shown in Figure P3.54. Upstream, the flow has a uniform velocity U, and downstream the velocity distribution in the wake is triangular with a maximum value of U1, as shown below. The pressure is atmospheric everywhere. For the control volume shown, the r-component of the velocity is uniform on every surface of the control volume and equal to U...
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