a) Estimate the drag force on the plate. You may use the expression ?? = ∫ τ?d? b) When the flow becomes turbulent, we can approximate the velocity gradient at the wall as constant, ∂? ∂? = ?. If the total drag force is 300 N, find ?. c) When the fluid is heated to 90oC, the density drops slightly and the viscosity decreases a lot, and engineers observe that the equation, τ? = 0.0644??∞ 2 δ ? , becomes less accurate. Explain why this might occur (1-2 sentences)

Q2: A) Assuming linear variation of velocity in the boundary layer i.e. (u/u) =(y/6), up to y= 8 and then u = u, determine using the integral momentum equation, the boundary layer thickness. B) The temperature ratio: [T,-T)/(T, -T)] = sin (zy/0.015) in flow over a flat plate. If k = 0.03 W/m.K, determine the value of convective heat transfer coefficient.

Using Buckingham-pi theorem, find an expression for the drag force (D) of a sphere of diameter (do) falling slowly with a velocity (V) in a large vessel containing a liquid of density (ρ) and viscosity (μ).

Q1: Find the boundary layer thickness (6) equation, the shear stress (to) and the coefficient of drag (C₁) if the velocity distribution in the laminar boundary layer over the face of a spillway was observed to be: u 7- (C)-()*+C)*. U Then calculate the boundary layer thickness and drag force if the air flows over a sharp edged flat plate 0.25m long and 0.5m wide at a velocity 1 m/s, take the air density 1.23 kg/m³ and the kinematic viscosity is 1.46*10-5 m/s².

The actual car will be running at V= 35 km/h at p-1 atm and T=0°C (the air density and viscosity are 1.292 kg/m3, and 1.338 x 105 m2/s, respectively). A one-fifth scale car model is being tested at the wind tunnel at 198.3 km/h at 1 atm and 20°C. (The air density and viscosity are 1.204 kg/m³, and 1.516 x 10$ m²/s, respectively). The average drag force on the model is 50 N. What is the drag force on the prototype? Note that dimensionless drag is Cp 1/2pV² A O 41.8 N O 50 N O 15.0 N O 44.2 N O 8.4 N O 38.9 N

i need the answer quickly

A passenger train, Keretapi Tanah Melayu (KTM) moves from A, to B at constant speed of 60 m/s. The long of the train is 15 m. By assuming the outer wall of the train is flat, air density,  = 1.164 kg/m3 and air kinematic viscosity,  = 1.60 x 10-5 m2 /s, determine at the back edge of the train (L = 15 m),   boundary layer thickness,  in meter (m)     displacement thickness, * in meter (m), and   iii. wall shear stress in Pascal (Pa).

B) for the velocity profiles given below, state whether the boundary layer has separated or on the verge of separation or will remain attached ( i) u/U=2(y/8) -(y/8)² ii) u/U=-2(y/8) +0.5(y/8)³ iii) u/U-1.5(y/8) +0.5(y/8)³ Q3: Find the displacement, momentum thickness and energy thickness for the velocity distribution in the boundary layer: F u/U=0.5(y/8) + 1.5(y/8)³ Q4: A) Find the velocity distribution and expression of the maximum velocity and shear stress for a flow between two stationary plates. C B) A laminar flow of oil between two horizontal fixed parallel plates with a maximum velocity 2 m/s and 100mm apart. Canulate the pressure gradient and shear stress. Take µ-2.4525 s/m².