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d) Figure 1 below shows the concentration profile of laminar flow fluid past a flat plate....
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-
1- Consider laminar flat plate flow with the following approximate velocity profile: U[ exp-5y/8)] which satisfies the...
1- Consider laminar flat plate flow with the following approximate velocity profile: U[ exp-5y/8)] which satisfies the conditions u = 0.993U at y = S. (a) Use this 0 at y 0 and u= profile in the two-dimensional momentum integral relation to evaluate the approximate boundary layer thickness variation S(x). Assume zero pressure gradient. (b) Now explain why your result in part (a) is deplorably inaccurate compared to the exact Blasius solution Scanned uww Cam Scanner
1- Consider laminar flat...
(b) For a laminar boundary layer on a flat plate the velocity profile uly) is given...
(b) For a laminar boundary layer on a flat plate the velocity profile uly) is given by 0-30:48) where U is the free stream velocity, y is the distance measured normal to the surface of the plate and is the boundary layer thickness. Determine equations for (i) the momentum thickness , and (8 marks) (ii) the boundary layer thickness d. (7 marks)
A fluid flow over a solid surface with a laminar boundary layer velocity profile is approximated...
A fluid flow over a solid surface with a laminar boundary layer velocity profile is approximated by the following equation: Ý = 2 () – ()* for y so and, 4 = 0 for y> 8 i). Show that this velocity profile satisfies the appropriate boundary conditions. ii) Determine the boundary layer thickness, 8 = 8(x) by using the momentum integral equation for the equation in Question 3(b)(i).
For laminar flow over a flat plate, the local heat transfer coefficient hx =x-1/2 where x...
For laminar flow over a flat plate, the local heat transfer coefficient hx =x-1/2 where x is the distance from the leading edge (x-0) of the plate. What is the average heat transfer coefficient from the leading edge to location x
Problem #3 Air flows over a flat plate at 4 m/s. An approximation for the x...
Problem #3 Air flows over a flat plate at 4 m/s. An approximation for the x component of velocity in the in- compressible laminar boundary layer is a sinusoidal variation from u-0 at the surface (y-0) to the freestream velocity, U, at the boundary-layer edge (y-5). The equation for the profile is u-Usin( %), where cVx and c is a constant. The boundary layer is 9 mm thick 1 m from the edge of the plate. (a) Predict the boundary-layer...
3). Standard air flows over a flat plate as shown. Laminar Find: boundary layer forms on...
3). Standard air flows over a flat plate as shown. Laminar Find: boundary layer forms on the surface. Assume the boundary (a). Wall shear stress, Fj)! layer bas a cubic velocity profile: (b). Boundary layer thickness, x)! (c). Shape factor (H-8t/0) Momentum integral equation on a flat plate is ax) Ud(u/U) Ху 1m The displacement thickncss and the momentum thickness are Freestream velocity is 1.0 m/s. The fluid viscosity and density are 1.55 x 10 m'ls and 1.23 kg/m, respectively...
1. For laminar flow over a flat plate, the local heat transfer coefficient, hx, is known to vary as hx~Cx-12 where C is...
1. For laminar flow over a flat plate, the local heat transfer coefficient, hx, is known to vary as hx~Cx-12 where C is a constant and x is the distance from the leading edge (x-0) of the plate. What is the ratio of the average coefficient between the leading edge and some location x on the plate (h,) to the local coefficient at x (h)? (15%)
1. For laminar flow over a flat plate, the local heat transfer coefficient, hx,...
JESTION 3 [15 MARKS nsider a flow along a flat plate with a boundary layer profile...
JESTION 3 [15 MARKS nsider a flow along a flat plate with a boundary layer profile given by: u 3 y ang Von-Karman momentum integral equation method, determine the value of: i. boundary layer momentum thickness, 0/8 ii. boundary layer thickness, 8x iii. boundary layer displacement thickness. 8*x (15
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...
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-
1- Consider laminar flat plate flow with the following approximate velocity profile: U[ exp-5y/8)] which satisfies the conditions u = 0.993U at y = S. (a) Use this 0 at y 0 and u= profile in the two-dimensional momentum integral relation to evaluate the approximate boundary layer thickness variation S(x). Assume zero pressure gradient. (b) Now explain why your result in part (a) is deplorably inaccurate compared to the exact Blasius solution Scanned uww Cam Scanner
1- Consider laminar flat...
(b) For a laminar boundary layer on a flat plate the velocity profile uly) is given by 0-30:48) where U is the free stream velocity, y is the distance measured normal to the surface of the plate and is the boundary layer thickness. Determine equations for (i) the momentum thickness , and (8 marks) (ii) the boundary layer thickness d. (7 marks)
A fluid flow over a solid surface with a laminar boundary layer velocity profile is approximated by the following equation: Ý = 2 () – ()* for y so and, 4 = 0 for y> 8 i). Show that this velocity profile satisfies the appropriate boundary conditions. ii) Determine the boundary layer thickness, 8 = 8(x) by using the momentum integral equation for the equation in Question 3(b)(i).
For laminar flow over a flat plate, the local heat transfer coefficient hx =x-1/2 where x is the distance from the leading edge (x-0) of the plate. What is the average heat transfer coefficient from the leading edge to location x
Problem #3 Air flows over a flat plate at 4 m/s. An approximation for the x component of velocity in the in- compressible laminar boundary layer is a sinusoidal variation from u-0 at the surface (y-0) to the freestream velocity, U, at the boundary-layer edge (y-5). The equation for the profile is u-Usin( %), where cVx and c is a constant. The boundary layer is 9 mm thick 1 m from the edge of the plate. (a) Predict the boundary-layer...
3). Standard air flows over a flat plate as shown. Laminar Find: boundary layer forms on the surface. Assume the boundary (a). Wall shear stress, Fj)! layer bas a cubic velocity profile: (b). Boundary layer thickness, x)! (c). Shape factor (H-8t/0) Momentum integral equation on a flat plate is ax) Ud(u/U) Ху 1m The displacement thickncss and the momentum thickness are Freestream velocity is 1.0 m/s. The fluid viscosity and density are 1.55 x 10 m'ls and 1.23 kg/m, respectively...
1. For laminar flow over a flat plate, the local heat transfer coefficient, hx, is known to vary as hx~Cx-12 where C is a constant and x is the distance from the leading edge (x-0) of the plate. What is the ratio of the average coefficient between the leading edge and some location x on the plate (h,) to the local coefficient at x (h)? (15%)
1. For laminar flow over a flat plate, the local heat transfer coefficient, hx,...
JESTION 3 [15 MARKS nsider a flow along a flat plate with a boundary layer profile given by: u 3 y ang Von-Karman momentum integral equation method, determine the value of: i. boundary layer momentum thickness, 0/8 ii. boundary layer thickness, 8x iii. boundary layer displacement thickness. 8*x (15
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...
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