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Problem #3 Air flows over a flat plate at 4 m/s. An approximation for the x...
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...
Consider air flows with velocity of U?=U= 10 m/s over a semi-finite smooth flat plate with...
Consider air flows with velocity of U?=U= 10 m/s over a
semi-finite smooth flat plate with L=97 cm long. Calculate the
followings by assuming ? = 1.568 x 10-5 m2/s and ?=1.177
kg/m3.
Figure 1 : Boundary layer over a flat plate
Consider air flows with velocity of U?=U=10 m/s over a
semi-finite smooth flat plate with L=97 cm long. Calculate the
followings by assuming ? = 1.568 x 10-5 m2/s and ?=1.177
kg/m3.
b) Under some flow and boundary...
14.12 Consider the laminar boundary layer that develops on a flat plate aligned with the freestream...
14.12 Consider the laminar boundary layer that develops on a flat plate aligned with the freestream flow direction. The flow is incompressible, the freestream flow speed is U and the pressure is constant in the flow direction, i.e., op/az = 0. The vertical velocity component is constant and equal to-t Determine the horizontal velocity component, u(x, v). Is there any restriction on the value of u? Uoo 0
Problem 3 (30 Points) Make a plot of v versus y at x 0.4 m from the leading edge of a flat plate ...
Problem 3 (30 Points) Make a plot of v versus y at x 0.4 m from the leading edge of a flat plate for laminar flow with all the appropriate boundary laver approximations. The freestream velocity is 0.8 m/s. Take the kinematic viscosity to be 10.05x10 m'/s and the density to be 998.2 kg/m3. These are properties for water.
Problem 3 (30 Points) Make a plot of v versus y at x 0.4 m from the leading edge of a...
Question 3: --うつc A flat plate is inserted with its edge at x = 0 in...
Question 3: --うつc A flat plate is inserted with its edge at x = 0 in a uniform flow coming at velocity U parallel to the plate from the region where x < 0. If using a cubic approximation to the Blasius profile: u U(2n- n) with n-y/o, in which o(x)- Ax/(Re.) is the boundary layer thickness, 1. What should the relationship be between this δ(x) and the δ99-5.0d(Re.)12 in the Blasius profile, in order to yield the same drag?...
(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)
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...
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...
Part 1 A thin plate 6 ft long and 3 ft wide is submerged and held...
Part 1 A thin plate 6 ft long and 3 ft wide is submerged and held stationary in a stream of water (T-60F) that has a velocity of 10 ft/s. What is the thickness of the boundary layer on the plate for Re, - 500,000 (assume the boundary layer is still laminar), and at what distance downstream of the leading edge does this Reynolds number occur? What is the shear stress on the plate at this point? (a) which of...
4) Air at 101 kPa and 360 K flows at 15 m/s over a flat plate...
4) Air at 101 kPa and 360 K flows at 15 m/s over a flat plate maintained at 300 K Assume that the transition Reynolds number is 5x10 (0.332R 12Pr1/3 Re < 5 x 105 0.029Repr0:43 5 x 105 < Re <3 x 107 Assume that k-0.03 W/( mK), 20x10* m?ls, Pr-0.7.p=1.16 kg/m a) If the plate is 2 m long, sketch the local heat transfer coefficient over the plate. Specify the functional form of h with respect tox b)...
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...
14.12 Consider the laminar boundary layer that develops on a flat plate aligned with the freestream flow direction. The flow is incompressible, the freestream flow speed is U and the pressure is constant in the flow direction, i.e., op/az = 0. The vertical velocity component is constant and equal to-t Determine the horizontal velocity component, u(x, v). Is there any restriction on the value of u? Uoo 0
Problem 3 (30 Points) Make a plot of v versus y at x 0.4 m from the leading edge of a flat plate for laminar flow with all the appropriate boundary laver approximations. The freestream velocity is 0.8 m/s. Take the kinematic viscosity to be 10.05x10 m'/s and the density to be 998.2 kg/m3. These are properties for water.
Problem 3 (30 Points) Make a plot of v versus y at x 0.4 m from the leading edge of a...
Question 3: --うつc A flat plate is inserted with its edge at x = 0 in a uniform flow coming at velocity U parallel to the plate from the region where x < 0. If using a cubic approximation to the Blasius profile: u U(2n- n) with n-y/o, in which o(x)- Ax/(Re.) is the boundary layer thickness, 1. What should the relationship be between this δ(x) and the δ99-5.0d(Re.)12 in the Blasius profile, in order to yield the same drag?...
(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)
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...
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...
Part 1 A thin plate 6 ft long and 3 ft wide is submerged and held stationary in a stream of water (T-60F) that has a velocity of 10 ft/s. What is the thickness of the boundary layer on the plate for Re, - 500,000 (assume the boundary layer is still laminar), and at what distance downstream of the leading edge does this Reynolds number occur? What is the shear stress on the plate at this point? (a) which of...
4) Air at 101 kPa and 360 K flows at 15 m/s over a flat plate maintained at 300 K Assume that the transition Reynolds number is 5x10 (0.332R 12Pr1/3 Re < 5 x 105 0.029Repr0:43 5 x 105 < Re <3 x 107 Assume that k-0.03 W/( mK), 20x10* m?ls, Pr-0.7.p=1.16 kg/m a) If the plate is 2 m long, sketch the local heat transfer coefficient over the plate. Specify the functional form of h with respect tox b)...
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