Question
nal homogeneity The one dimensional Navier Stokes eqn takes the form dw dw w dz t Cop dz 4 PO where w p P H
nal homogeneity The one dimensional Navier Stokes eqn takes the form dw dw w dz t Cop dz 4 PO where w p P H g are the velocity pressure density viscosity and gravitational acceleration respectively t z are time and z coordinate which is chosen in the opposite direction of gravity Dimensional homogeneity of an equation requires each term in an equation having the same dimension 2 1 Express dimension of the coefficient C in terms of M L T 2 2 Verify that dimensional homogeneity is satisfied by the equation check each term and make sure they all have the same dimension
nal homogeneity The one dimensional Navier Stokes eqn takes the form dw dw w dz t Cop dz 4 PO where w p P H g are the velocity pressure density viscosity and gravitational acceleration respectively t z are time and z coordinate which is chosen in the opposite direction of gravity Dimensional homogeneity of an equation requires each term in an equation having the same dimension 2 1 Express dimension of the coefficient C in terms of M L T 2 2 Verify that dimensional homogeneity is satisfied by the equation check each term and make sure they all have the same dimension
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