Derive an expression for turbulent boundary layer thickness over a flat plate
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Derive an expression for turbulent boundary layer thickness over a flat plate
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- Two definitions of displacement thickness are given in this chapter. Write both definitions in your own words. For the laminar boundary layer growing on a flat plate, which is larger—boundary layer thickness ? or displacement thickness ?*? Discuss.The thickness of the laminar boundary layer on a flat plate at a point A is 2 cm and at a point B, Im downstream of A, is 3 cm. What is the distance of A from the leading edge of the plate?Consider a 102 mph airflow over a flat plate with a span of 9.7 ft and a planform area of 60 ft2. The boundary layer transitioned from laminar to turbulent. If the total skin friction drag for the laminar section is 0.858 lbs, determine the location of the transition point. Assume SSLC, Provide answer in feet and round off answer to the nearest thousandths.
- Light oil at 75°F flows over a 17-ft-long flat plate with a free-stream velocity of 5 ft/s. Determine the total drag force per unit width of the plate.Assume air at 20°C and atmospheric pressure on a smooth flat plate with a speed free current of 25 m/s (kinematic viscosity of 1.5x10-5 m2/s and density 1.2 kg/m3). The plate is 4 m long and 1.5 m wide. If the boundary layer is initially laminate and then become turbulent boundary layer with a transition Re of 5x10^5: a) What is the drag coefficient for the plate?b) What is the drag force on the entire plate?c) At what distance x from the plate the profile becomes turbulent.d) What is drag force on the turbulent part?e) What is the drag force on the laminar part?From Table the drag coefficient of a wide plate normalto a stream is approximately 2.0. Let the stream conditionsbe U∞ and p∞. If the average pressure on the front of theplate is approximately equal to the free-stream stagnationpressure, what is the average pressure on the rear?
- The viscous laminar flow of air over a flat plate results in the formation of a boundary layer. The boundary layer thickness at the end of the plate of length L is Delta L . When the plate length is increased to twice its original length. The percentage change in laminar boundary layer thickness at the end of the plate (with respect to Delta L ) is ______Water at 60° C flows over 2.5 cm square flat plate 90°C at a velocity of 4 m/s. 1- Calculate the drag force , Xcritical 2- If the flat plate is exposed to the natural air convection at 60 °C instead of water with same values of temperatures and length calculate Rayleigh number.Explain boundary layer thickness?
- Q1) Briefly explain laminar, transition and turbulent flow based on boundary layer separation.Show the boundary layer development along the plate and define the characteristics of boundary layer from plate to the free stream region in turbulent boundary layer region.For flow over a smooth plate, what approximately is the maximum length of the boundary layer if V_o = 9.0 m/s in the irrational uniform flow and the fluid is air? Water?