Question: QUESTION 1 [50 Marks] PART A (25 Marks) (a) It can be shown that t = 28 +( +e,,) where is the first coefficient

QUESTION 1 [50 Marks] PART A (25 Marks) (a) It can be

QUESTION 1 [50 Marks] PART A (25 Marks) (a) It can be shown that t = 28 +( +e,,) where is the first coefficient viscosity and is the second coefficient viscosity. -7 2 3 If is given as 1 21: 8x 1 35 1 Ou (i) Evaluate the deformation tensor provided that =1 + ey axx 8x (ii) Determine div and explain its physical meaning? (iii) Given that =210 kg/ms, 2-10 kg/ms. Find t [6 Marks] [2 Marks] [7 Marks] (b) The generalised momentum equation for incompressible flows and constant properties is given as: -Vp+ (1) Non-dimensionalise the above equation, using scaling factors U, L, LIU, 8R, PU and 1/L for velocity, length, time, gravitational, pressure and differential operator (V) respectively. (Froude number Fr=U/gRL) [10 Marks]

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