Consider incompressible steady flow of standard air (p = 1.2 kg/m) in a boundary layer on...
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Consider incompressible steady flow of standard air (p = 1.2 kg/m³) in a boundary layer on the length of porous surface shown. Assume the boundary layer at the downstream end of the surface has an approximately parabolic velocity profile, u = U (2(y/6)-(v/8)2). Uniform suction is applied along the porous surface, as shown. Calculate the volume flow rate across surface cd, through the porous suction surface, and across surface bc. Given that the velocity vector at the porous surface is ✓ = -0.0001 3 m/s. 8 = 0.0015 m, U = 2 m/s, L = 3 m and width, w = 2.5 m (normal to the surface). The flow enters the control volume at ab only and leaves it at the other three sections. Considered inflow as negative and outflow as positive. -U->> a L C -11- ...... Width, w 1. The volume flow rate through section ab is 2. The volume flow rate through section ad is...... L/s. 3. The volume flow rate through section bc is .m³/s. 4. The volume flow rate through section cd is.….... ....m³/s. 5. The mass flow rate through section bc is ...kg/hr. ..m³/s (including sign). 8 Consider incompressible steady flow of standard air (p = 1.2 kg/m³) in a boundary layer on the length of porous surface shown. Assume the boundary layer at the downstream end of the surface has an approximately parabolic velocity profile, u = U (2(y/6)-(v/8)2). Uniform suction is applied along the porous surface, as shown. Calculate the volume flow rate across surface cd, through the porous suction surface, and across surface bc. Given that the velocity vector at the porous surface is ✓ = -0.0001 3 m/s. 8 = 0.0015 m, U = 2 m/s, L = 3 m and width, w = 2.5 m (normal to the surface). The flow enters the control volume at ab only and leaves it at the other three sections. Considered inflow as negative and outflow as positive. -U->> a L C -11- ...... Width, w 1. The volume flow rate through section ab is 2. The volume flow rate through section ad is...... L/s. 3. The volume flow rate through section bc is .m³/s. 4. The volume flow rate through section cd is.….... ....m³/s. 5. The mass flow rate through section bc is ...kg/hr. ..m³/s (including sign). 8
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Solutions Step 1 Explanation To solve this problem we can use the continuity equation which states that the mass flow rate through a control volume is ... View the full answer
Related Book For
Fundamentals Of Momentum Heat And Mass Transfer
ISBN: 9781118947463
6th Edition
Authors: James Welty, Gregory L. Rorrer, David G. Foster
Posted Date:
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