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3. An incompressible, viscous fluid with density, p, flows past a solid flat plate which has...
Problem 1 An incompressible, viscous fluid with density, p, flows past a solid flat plate which...
Problem 1 An incompressible, viscous fluid with density, p, flows past a solid flat plate which has a width, b, into the page. The flow initially has a uniform velocity U before contacting the plate. The velocity profile at location x is estimated to have a parabolic shape, u-u[(Y)-(,)21"for ysiand u-vfor y 20 where isthe boundary layer thickness. (a) Determine the upstream height from the plate, h, of a streamline which has a height, 6, at the downstream location, x....
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...
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 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...
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...
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...
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...
For an ideal, incompressible fluid of density p, subject to a gravitational field g= -Vº' (here...
For an ideal, incompressible fluid of density p, subject to a gravitational field g= -Vº' (here Ø' is the gravitational potential) the Euler equation is: Div=-- Vp+g, Div = .v + (v.7)v Use vector identity v * (I xv) = -(v.7)v + rv2) to derive Bernoulli's equation: --v2--p - d' = const, along any streamline (dye path) in steady flow. (a) Use y (b) This question concerns free surface flow and hydraulic jumps. Incompressible inviscid fluid (water) is in steady,...
10.13. The shear stress, Tw, on a flat surface that is caused by a fluid of density p and vis- cosity u flowing over the surface at a velocity V is given by where Re,- V Re where r is the distance fr...
10.13. The shear stress, Tw, on a flat surface that is caused by a fluid of density p and vis- cosity u flowing over the surface at a velocity V is given by where Re,- V Re where r is the distance from the upstream end of the flat surface. (a) Use the given shear stress distribution, w(x), to determine the drag force on a flat plate of width W and length L in terms of W, L, V, p,...
Consider the steady, incompressible flow of depth h of a liquid of known density ρ and...
Consider the steady, incompressible flow of depth h of a liquid
of known density ρ and unknown viscosity µ down a flat plate as
shown in Figure 1. Air is the fluid above the liquid layer. The
force of gravity is in the vertical direction with acceleration g,
and the plate is at an angle θ with respect to the horizontal.
Assuming the coordinate system as shown, with x aligned with the
flow direction, and y normal to the plate,...
Problem 1 An incompressible, viscous fluid with density, p, flows past a solid flat plate which has a width, b, into the page. The flow initially has a uniform velocity U before contacting the plate. The velocity profile at location x is estimated to have a parabolic shape, u-u[(Y)-(,)21"for ysiand u-vfor y 20 where isthe boundary layer thickness. (a) Determine the upstream height from the plate, h, of a streamline which has a height, 6, at the downstream location, x....
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...
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 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...
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...
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...
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...
For an ideal, incompressible fluid of density p, subject to a gravitational field g= -Vº' (here Ø' is the gravitational potential) the Euler equation is: Div=-- Vp+g, Div = .v + (v.7)v Use vector identity v * (I xv) = -(v.7)v + rv2) to derive Bernoulli's equation: --v2--p - d' = const, along any streamline (dye path) in steady flow. (a) Use y (b) This question concerns free surface flow and hydraulic jumps. Incompressible inviscid fluid (water) is in steady,...
10.13. The shear stress, Tw, on a flat surface that is caused by a fluid of density p and vis- cosity u flowing over the surface at a velocity V is given by where Re,- V Re where r is the distance from the upstream end of the flat surface. (a) Use the given shear stress distribution, w(x), to determine the drag force on a flat plate of width W and length L in terms of W, L, V, p,...
Consider the steady, incompressible flow of depth h of a liquid
of known density ρ and unknown viscosity µ down a flat plate as
shown in Figure 1. Air is the fluid above the liquid layer. The
force of gravity is in the vertical direction with acceleration g,
and the plate is at an angle θ with respect to the horizontal.
Assuming the coordinate system as shown, with x aligned with the
flow direction, and y normal to the plate,...
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