For the flow near an oscillating flat plate, we obtained the velocity profile: u = Ue...

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For the flow near an oscillating flat plate, we obtained the velocity profile: u = Ue ky cos(wt - ky), k -√√ = Using the following non-dimensional values U * = U U' Eq. (1) becomes the non-dimensional expression: y* U* = = ky, t* = wt, exp(-y*) cos(t* — y*) (a) Draw velocity profiles for t* = 0, π/4, π/2, 3/4, n. Use u* and y* as a horizontal and a vertical axes, respectively (similar to Fig. 6.2 in my handout). (1) (b) The distance & from the plate when |u|/U = 0.01 is called a thickness of an oscillating boundary layer as I told you. Compute the thickness d for w/(2T) 1 Hz and 10 Hz in case of water and air. Temperature is assumed to be 20 °C. = For the flow near an oscillating flat plate, we obtained the velocity profile: u = Ue ky cos(wt - ky), k -√√ = Using the following non-dimensional values U * = U U' Eq. (1) becomes the non-dimensional expression: y* U* = = ky, t* = wt, exp(-y*) cos(t* — y*) (a) Draw velocity profiles for t* = 0, π/4, π/2, 3/4, n. Use u* and y* as a horizontal and a vertical axes, respectively (similar to Fig. 6.2 in my handout). (1) (b) The distance & from the plate when |u|/U = 0.01 is called a thickness of an oscillating boundary layer as I told you. Compute the thickness d for w/(2T) 1 Hz and 10 Hz in case of water and air. Temperature is assumed to be 20 °C. =

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a To draw the velocity profiles for different time instances we can use the nondimensional expressio... View the full answer