7.11 Consider two cases involving parallel flow of dry air at V = 1 m/s, T∞...

7.11 Consider two cases involving parallel flow of dry air at V = 1 m/s, T_∞ = 45°C, and atmospheric pressure over an isothermal plate at T_s = 20°C. In the first case, Re_x,c = 5 × 10⁵, while in the second case the flow is tripped to a turbulent state at x = 0 m. At what x‐location are the thermal boundary layer thicknesses of the two cases equal? What are the local heat fluxes at this location for the two cases?

Answer: x=.142; q”_lam = -129 W/m²; q”_turb = -175 W/m²

Expert Solution

samet mamat answered 2 years ago

Consider atmospheric air at a velocity of V = 20 m/s and a temperature of T=...

Consider atmospheric air at a velocity of V = 20 m/s and a temperature of T= 20C, in cross flow over 10 mm square tube at 45 degrees, maintained at 50C. Sketch Assumptions Calculate the air properties (show the interpolation steps) Re = ? Nu = ? (reference the table number where the equation is obtained) H = ? Calculate the rate of heat transfer per unit length, q.

Consider a flat plate with parallel airflow (top and bottom) characterized by u∞ 5 m/s, T∞...

Consider a flat plate with parallel airflow (top and bottom) characterized by u∞ 5 m/s, T∞ 20°C. Determine the average convection heat transfer coefficient, convective heat transfer rate, and drag force associated with an 2.8-m-long, 2.8-m wide flat plate with a surface temperature of 50°C. Assume the critical Reynolds number is 5x105. Determine the average convection heat transfer coefficient, in W/m2·K. Determine the convective heat transfer rate, in W. Determine the drag force, in N.

Air at a pressure of 1 atm and a temperature of 50°C is in parallel flow...

Air at a pressure of 1 atm and a temperature of 50°C is in parallel flow over the top surface of a flat plate that is heated to a uniform temperature of 100°C. The plate has a length of 0.24 m (in the flow direction) and a width of 0.12 m. The Reynolds number based on the plate length is 30,000. (a) What is the rate of heat transfer from the plate to the air? (b) If the free stream...

V = X'(t) = -t^2 + 6 m/s Implies X(t) = -(1/3)t^3 + 6t The initial...

V = X'(t) = -t^2 + 6 m/s Implies X(t) = -(1/3)*t^3 + 6*t The initial position is zero in this case. This function will initially increase (this means the object is moving forward), then the negative force will be too strong, so the object will start moving backwards. calculate the maxima and minima. Graph the function X(t). Describe the motion. Every detail.

An aircraft is in level flight at airspeed v(t) m/s with thrust T(t) N at cruising...

An aircraft is in level flight at airspeed v(t) m/s with thrust T(t) N at cruising altitude. Suppose that at v0 = 250 m/s, the aerodynamic drag experienced by the aircraft at this altitude is: Fd(v) = 0.25v 2 . (1) Then, an extremely simplified model relating v(t) to T(t) is: mv˙(t) + Fd(v(t)) = T(t), (2) where m = 25000 kg. Assume v(t) is always positive. Question 1. Linearize (2) at v0 = 250 m/s, and an appropriate nominal...

A fluid flow is defined by u = (0.4x2 + 2t) m/s and v = (0.8x...

A fluid flow is defined by u = (0.4x2 + 2t) m/s and v = (0.8x + 2y) m/s, where x and y are in meters and t is in seconds. Part A Determine the magnitude of the velocity of a particle passing through point x = 12.8 m, y = 1 m if it arrives when t = 3 s. V= Part B Determine the direction of the velocity of a particle passing through point x = 12.8 m,...

A bulldozer’s velocity (in m/s) at a time t is given by v(t)=t^2-t+3. (a)Estimate the displacement...

A bulldozer’s velocity (in m/s) at a time t is given by v(t)=t^2-t+3. (a)Estimate the displacement of the bulldozer on the time interval using 0≤t≤5 Midpoint Riemann Sum with 10 subintervals. Specify the value of,n ,Δx, and the chosen sample points. (b)Find the exact displacement of the object on the time interval 0≤t≤5 using the limit definition of the definite integral. Thank you,

1. m • (n • p) 2. (q ⊃ ~t) • (~m v q) 3. ~t...

1. m • (n • p) 2. (q ⊃ ~t) • (~m v q) 3. ~t ⊃ z : . z

Consider the following combined cycle. The mass flow rate of air is 73 kg/s. Air enters...

Consider the following combined cycle. The mass flow rate of air is 73 kg/s. Air enters the compressor at state 1 with Patm =1 atm and Tamb = 20°C. The compressor has a pressure ratio of 7.5 and an efficiency ?c = 0.85. Air enters the combustor and is heated to a temperature TH = 1250°C. The turbine has an efficiency of ?t,1 = 0.87. The air leaving the turbine enters the steam boiler where it transfers heat to the...

1. Let V be real vector space (possibly infinite-dimensional), S, T ∈ L(V ), and S...

1. Let V be real vector space (possibly infinite-dimensional), S, T ∈ L(V ), and S be in- vertible. Prove λ ∈ C is an eigenvalue of T if and only if λ is an eigenvalue of STS−1. Give a description of the set of eigenvectors of STS−1 associated to an eigenvalue λ in terms of the eigenvectors of T associated to λ. Show that there exist square matrices A, B that have the same eigenvalues, but aren’t similar. Hint:...

Question