The velocity distribution for water at 20°C flow over a flat plate is given by u-2y-6y...
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,...
The velocity distribution for water (15 degrees Celcius) near a wall is given by u=a(y/b)^n, where y is the distance from wall in mm and u is the velocity in m/s. The parameters, a = 22.0, b = 2.3, and n = 1/6. Determine shear stress in the water at 0.13 mm from the wall.
Consider water at 25°C in parallel flow over an isothermal flat plate with a velocity of 0.5 m/s. (a) Calculate the boundary layer thickness : at x = 3 m. What would be the value of 8, if the flow velocity was 0.05 m/s? (b) Calculate the average heat transfer coefficient over the length x.
The velocity profile for a turbulent boundary layer over a flat plate is to be approximated by the expression и an"* +b7072 where n=y/8 U a) (10P) Evaluate the coefficients a and b b) (20P) Obtain an expression for 8/x c) (5P) Obtain an expression for shear stress coefficient Cf. d) (5P) Draw velocity profile precisely.
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 a laminar, incompressible flow over a flat plate where the velocity is given by Where η U 1 Show that the displacement thickness, momentum thickness, and shape factor may be expressed as 39 and H-2.69 Hint: First show that Ll
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...
Water at 25°C is flowing over a long flat plate with a velocity of 8 m/s. The density and dynamic viscosity of water at 25°C are respectively, 997 kg/m3 and 0.891 x 10- 3 kg/m s. The distance from the leading edge of the plate where the flow becomes turbulent is: 30 mm 78 mm 47 mm 45 mm 56 mm
The velocity distribution for laminar flow between parallel plates is given by where h is the distance separating the plates and the origin is placed midway between the plates Consider a flow of water at 15° C, with umaz 1.65 m/s and h = 0.89 mm. Calculate the shear stress on the upper plate and give its direction. Use Table A.8 Ti N/m2 yr
Oil flows near a flat surface and some measurements of the oil velocity, u, parallel to the surface, at different heights, y, above the surface are obtained. At the surface y 0. After an analysis of the data, the lab technician reports that the velocity distribution in the range 0 < y < 0.1 ft is given by the equation u-0.81 + 9.2y + 4.1x 10зуз with u in ft/s when y is in ft a) Do you think this...