Exams › GATE › Technical

The velocity field of a two-dimensional, incompressible flow is given by V = 2 sinh x î + v(x,y) ĵ where î and ĵ denote the unit vectors in x and y directions, respectively. If v(x,0) = cosh x, then v(0,−1) is

1. 1
2. 2
3. 3
4. 4

Correct answer: 3

Solution

Incompressibility: dv/dy = -du/dx = -2cosh x, so v = -2y cosh x + f(x). With v(x,0)=cosh x, f(x)=cosh x, giving v = cosh x (1-2y). Then v(0,-1) = 1*(1+2) = 3, so option '3' (not '1').

Related GATE Technical questions

• Assuming constant temperature condition and air to be an ideal gas, the variation in atmospheric pressure with height calculated from fluid statics is
• A hollow cylinder has length L, inner radius r1, outer radius r2, and thermal conductivity k. The thermal resistance of the cylinder for radial conduction is
• Consider the radiation heat exchange inside an annulus between two very long concentric cylinders. The radius of the outer cylinder is Ro and that of the inner cylinder is Ri. The radiation view factor of the outer cylinder onto itself is
• The internal energy of an ideal gas is a function of
• In the phase diagram shown in the figure, four samples of the same composition are heated to temperatures marked by a, b, c and d. At which temperature will a sample get solutionized the fastest?
• The welding process which uses a blanket of fusible granular flux is

⚔️ Practice GATE Technical free + battle 1v1 →