The Navier-Stokes equations given bellow express the momentum and force balances (ma = sigma F) in a fluid, where U = ui + upsilon j + wk is the velocity vector, p is pressure, rho is the density of...

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The Navier-Stokes equations given bellow express the momentum and force balances (ma = sigma F) in a fluid, where U = ui + upsilon j + wk is the velocity vector, p is pressure, rho is the density of the fluid, mu is viscosity and g is the gravitational acceleration. Identify the A) change in linear momentum. B) gravitational forces. C) pressure forces and D) shearing stress for both set of equations and E) acceleration. F) advection and G) diffusion in incompressible flows by circling and marking (with A, B, C, D, E, F and G respectively) the relevant components. rho (partial differential u/partial differential t + u partial differential u/partial differential x + upsilon partial differential u/partial differential y + w partial differential u/partial differential z) = rho g_x - partial differential p/partial differential x + mu (partial differential^3 u/partial differential x^2 + partial differential^2 u/partial differential y^2 + partial differential^2 u/partial differential z^2) rho (partial differential upsilon/partial differential t + u partial differential upsilon/partial differential x + upsilon partial differential upsilon/partial differential y + w partial differential upsilon/partial differential z) = rho g_y - partial differential p/partial differential y + mu (partial differential^2 upsilon/partial differential x^2 + partial differential^2 upsilon/partial differential y^2 + partial differential^2 upsilon/partial differential z^2) rho (partial differential w/partial differential t + u partial differential w/partial differential x + upsilon partial differential w/partial differential y + w partial differential w/partial differential z) = rho g_z - partial differential p/partial differential z + mu partial differential(partial differential^2 w/partial differential x^2 + partial differential^2 w/partial differential y^2 + partial differential^2 w/partial differential z^2) or rho (partial differential U/partial differential t + U middot nabla U) = rho g - nabla p + mu nabla^2 U

Answered 90 days After May 14, 2022

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Sonam answered on Aug 13 2022

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The Navier-Stokes equations given bellow express the momentum and force balances (ma = sigma F) in a fluid, where U = ui + upsilon j + wk is the velocity vector, p is pressure, rho is the density of...

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