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A fluid with a density of 2000 kg/m3 flows steadily
Chapter 6, Problem 6.30(choose chapter or problem)
A fluid with a density of \(2000~\mathrm{kg/m^3}\) flows steadily between two flat plates as shown in Fig. P6.30. The bottom plate is fixed and the top one moves at a constant speed in the x direction. The velocity \(V=0.20~y ~\mathbf{\hat i}~\mathrm{m/s}\) is where y is in meters. The acceleration of gravity is \(g=-9.8~\mathbf{\hat j}~\mathrm{m/s^2}\). The only nonzero shear stresses, \(\tau_{yx}=\tau_{xy}\), are constant throughout the flow with a value of \(5~\mathrm{N/m^2}\). The normal stress at the origin (x = y = 0) is \(\sigma_{xx}=- 100\) kPa. Use the x and y components of the equations of motion (Eqs. 6.50a and b) to determine the normal stress throughout the fluid. Assume that \(\sigma_{xx} = \sigma_{yy}\).
Questions & Answers
QUESTION:
A fluid with a density of \(2000~\mathrm{kg/m^3}\) flows steadily between two flat plates as shown in Fig. P6.30. The bottom plate is fixed and the top one moves at a constant speed in the x direction. The velocity \(V=0.20~y ~\mathbf{\hat i}~\mathrm{m/s}\) is where y is in meters. The acceleration of gravity is \(g=-9.8~\mathbf{\hat j}~\mathrm{m/s^2}\). The only nonzero shear stresses, \(\tau_{yx}=\tau_{xy}\), are constant throughout the flow with a value of \(5~\mathrm{N/m^2}\). The normal stress at the origin (x = y = 0) is \(\sigma_{xx}=- 100\) kPa. Use the x and y components of the equations of motion (Eqs. 6.50a and b) to determine the normal stress throughout the fluid. Assume that \(\sigma_{xx} = \sigma_{yy}\).
ANSWER:
Step 1 of 4
If the pressure in case of liquid is changed at any particular point then the impact of change will be transmitted to the entire fluid without being diminished in magnitude.