Consider water at 27°C in parallel flow over an isother- mal, 1-m-long flat plate with a velocity of 2 m/s. (a) Plot the variation of the local heat transfer coeffi- cient, h,(x), with distance along the plate for three flow conditions corresponding to transition Reyn- olds numbers of (i) 5 x 105, (ii) 3 × 105, and (iii) 0 (the flow is fully turbulent).

Prob4 Flowing Liquid: Water; Pipe length: L=600 m; Diameter: D=0.15 m; Q = 0.06 m³/s; hf = 50 m [head losses] Find, f=? [friction coefficient], and roughnes=? [mm] Ref¹/2_D32 (20¹4) 12 Resistance coefficient, j 0.100 0.090 0.080 0.070 0.060 0.050 0.040 0.030 0.025 0.020 0.015 0.010 0.009 0.008 10³ Re 2 10³ 2 J 4 6 810² 468104 2 8104 2 4 6 8105 2 4 6 8105 Fully rough turbulent flow Smooth pipes 4 68105 2 46810 Re=VD 2 468 468107 ▬▬▬ WITH IN 0.05 0.04 0.03 0.02 0.015 0.01 0.00810 0.006 0.004 0.002 0.001 0.0008 0.0006 0.0004 0.0002 0.0001 0.00005 0.00001 6 8108 Relative roughness, 7

Question 11) Vortices are usually shed from the rear of a cylinder, which are placed in a uniform flow at low speeds. The vortices alternatively leave the top and the bottom of the cylinder, as shown in figure, causing an altemating force normal because of generating a dimensionless relationship for Kánmán vortex shedding frequency f (1/s) as a function of free-stream speed V(7m/s), fluid density p (kgm³), fluid viscosity µ (kg/m.s), sound velocity c (m/s), surface roughness & (m) and cylinder diameter D(m). || I-Determine the nondimensional a parameters using repeating variables, involving f, , c and u as nonrepeating variables ii-the dynamics of Bhosphorus bridge is investigated in a wind tunnel for the vortex generation behind the wires. A 1/59 scaled down model of the hanging wires is used in the laboratory. If vortex shedding frequency of of Bhosphorus bridge 590 Hz is measured in the laboratory at 29 m/s. Then detemine the expected frequency in the actual case exposed to 190 km/h…