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Define laminar flow and give one practical example.
For any positive intege rx, let f(x) =x^x. Suppose that n is a positive integer such that there exists a positive integer m with m not equal 1 such that f(f(f(m))) =m^m^n+2020. Compute the smallest possible value of n.
what are the conditions for flow to be irrotational.
The velocity components in a two dimensional flow are :
U = 8x^2 y - 8/3 y^3 And
V = -8xy^3 + 8/3 x^3.
Show that these velocity components represents a possible case of an irrotational flow.
U = 8x^2 y - 8/3 y^3 And
V = -8xy^3 + 8/3 x^3.
Show that these velocity components represents a possible case of an irrotational flow.
Find the convective acceleration at the middle of a pipe which converges uniformly from 0.6 m diameter to 0.3 m diameter over 3 cm length. The rate of flow is 40 lit/s. If the rate of flow changes uniformly from 40 lit/s to 80 lit/s in 40 seconds, find the total acceleration at the middle of the pipe at 20th second.
A fluid flow is given by : V = x^2 yi - 2yz^2 j - ( zy^2 - 2z^3 /3 ) k. Prove that it is a case of possible steady incompressible fluid flow.
The velocity potential function φ, is given by φ = x2 - y^2 . Find the velocity components in x and y direction. Also show that φ represents a possible case of fluid flow.
The stream function for a two dimensional flow is given by ψ = 8xy, calculate the velocity at the point p(4, 5). Find the velocity potential function φ.
A 30 cm diameter pipe carries oil of sp. gr. 0.8 at a velocity of 2 m/s. At another section the diameter is 20 cm. Find the velocity at this section and also mass rate of flow of oil.
A 40 cm diameter pipe, conveying water, branches into two pipes of diameters 30 cm and 20 cm respectively. If the average velocity in the 40 cm diameter pipe is 3 m/s. Find the discharge in this pipe. Also determine the velocity in 20 cm pipe if the average velocity in 30 cm diameter pipe is 2 m/s.
