(a) Yes the no. of dimensionless parameters in the expansion is 2 which is correct. There are 2 pi terms. According to buckingham pi theorem there must be (m-n) pi terms where "m" is the total no. of variables which is 5 and "n" is the no. of fundamental dimensions which is 3 (M,L,T). So there are 2 pi terms.
a=4 b=3(m/s) 06. The drag force. F.experienced by a submarine that moves at a great depth...
S6. A submarine of diameter H, velocity v, moves through water of density ρ and If Df is the drag force on the submarine, then it is known dynamic viscosity that a law of the following form applies μ. for some function G, and where DF/(pv2H2), WH/μ are dimensionless quantities You are not required to derive this formula. Engineers wish to determine the drag on a full size prototype when it is run at v-10 km hr1. To this end,...
(40 pts) The drag force exerted on an automobile running at a constant speed of 30 m/s is to be determined by running flow tests on a 1/6 scale model in a water tunnel. The drag force is known to be a function of the characteristic length, L, describing the vehicle frontal section, the vehicle speed relative to the fluid, V, and the fluid density and viscosity. Dimensional analysis has shown the following dimensionless relationship: Cp = º(Re), where FD...
Fluid Mechanics QUESTION 3 State 2 applications of dimensional analysis. (a) (2 marks) (b) The drag force, Fo acting on a ship is considered to be a function of the fluid density (p) viscosity (H). exavitlg). ship velocity (V), and characteristic length (). Using Buckingham П theorem, determine a set ofsuitable dimensionless numbers to describe the relationship.Fo f(p.H.g.V (4 marks) A 1:60 scale model of a ship is used in a water tank to simulate a ship speed of 10...
Encircle the correct answer for the following questions: • What is the hydraulic diameter of a rectangular air ventilation duet whose cross section is 1 m by 25 cm? (a) 25 cm (b) 40 cm (c) 100 cm (d) 75 cm (e) 50 cm Oil = 0.1kg/ms, specific gravity= 0.9] flows through a 50-m-long smooth 8-cm-diameter pipe. The maximum pressure drop for which laminar flow is expected is approximately • • (a) 40 kPa (b) 50 kPa (c) 60 kPa...