2) The viscous boundary layer velocity profile shown in following figure can be approximated by a parabolic equation, the Inviscid flow Viscous boundary ayer The boundary condition is u-5 m/s (the free stream velocity) at the boundary edge o (where the viscous friction becomes zero). Find the values of a, b, and c.
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...
Use the integral method for boundary layer flow and convective heat transfer over a flat plate heated by maintaining a constant heat flux q"w, for the case of very low Prandtl number, Pr0. Assume that the free stream velocity of the fluid, U, and free stream temperature, T-do not vary with x. Using the integral form of energy equation, show that under these conditions: (a) the temperature profile, (T- T) is given by, 41 2 CT-T oa (b) the wall...
CDU- - X Spring2020 final takehome EXAM [Compatibility Mode] - Microsoft Word View Home Insert Page Layout References Mailings Review Cut Calibri 12 - AAEEE 24 T BIU.abe x x Aa Ea Copy Paste Format Painter Clipboard AaBbCcDc 1 Normal AaBbCcDc AaBb 1 No Spaci... Heading 1 AaBbc AaBb Heading 2 Title AaBbccI_AaBbcc Subtitle Subtle Em... AaBbCcD Emphasis Change Find 4ac Replace hs Select Editing Styles Font Paragraph Styles . . . . 4. (20 points) In class, we discuss...
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...
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....
Air at T=25°C and pressure P=1 bar flows over a square plate with a velocity V=1 m/s. This plate has a length L= 1 m and it is heated over its entire length; the plate temperature is constant Tp=100°C. The following data are given. For air: dynamic viscosity: mu = 1.9*10–5 kg/(m.s); density: rho = 1.05 kg/m3; conductivity k = 0.03 W/(m K); Specific heat Cp = 1.007 kJ/(kg K); Prandtl number Pr = 0.7 For laminar flow over a...
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...
use matlab 2T 12 A A Aa AaBbCcDd AaBbCcDd AaBbCc AaBbCcD al T No Spac.. Heading 1 Heading 2 1 Normal x A A Uabe X Styles Paragraph Font Let z2-3z+ 1 X(z)= 273 +7z2 +2z-5 a) Rewrite the function in a partial fraction expansion formulation using MATLAB. b) Compute the inverse z-transform of X(z) using MATLAB. Plot x[k] = e-0.5kTu[k] with T 1 sec for the range 0sk 20. GUSH (UNITED STATES) 2T 12 A A Aa AaBbCcDd AaBbCcDd...
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...