DO first case, Rex, = 5 × 10³, while in the second case the flow is tripped to a tu e the thermal boundary layer thicknesses of the two cases equal? What are wo cases? m
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- A 20 °C water flows to 50cmx60cm flat plate with velocity of 6m/s . The flat plate surface temperature is maintained at 40 °C . The air flows parallel to the 50cm side of the plate. If the kinematic viscosity of water is 78x10-8 m2/s, at what length the flow become turbulent? If the average laminar heat transfer coefficient of water is 7740W/m2 °C , what is the overall heat transfer at the laminar section?Air at standard pressure flows across a flat plate at 3m/s. The temperature surface is 50oC and the surrounding temperature is 20o Consider a point 1m away from the leading edge of the plate. See Table A-15 in Appendix 1 for properties of air. Determine the Reynold’s number and Prandtl number for this flow at the location described above. Determine the local flow boundary layer thickness. Determine the local thermal boundary layer thickness for this flow.Air at 1 atm with a velocity of 4 m/s and a temperature of 50oC flows over a flat plate that is at a uniform temperature of 100oC. The plate has a length of 0.20 m and a width of 0.1 m. a) What is the average heat transfer coefficient? b) What is the heat transfer rate from plate to the air? c)What is the average friction coefficient and the drag force ? d)What is the heat transfer coefficient at x=0.15 m ?
- Air at -10° C flows over a smooth sharp-edged, almost flat aerodynamics surface that is held at 10°C, at a speed of 120 km/hr . What is the greatest length the plate can be if the flow is to remain laminar over the entire length of the plate? What would be the average film coefficient be of that plate and what is the heat flux? What are the heights of the fluid and thermal boundary layers at the end of that length? Use Re = 350,000 for the critical Reynolds number.Air at a temperature of 25oC flows parallel over a flat plate with free-stream velocity of 2 m/s. The plate surface temperature is uniform at 86oC. Calculate: a) Thermal boundary layer thickness at x = 8 cm from leading edge; b) Local heat flux on x = 8 cm from leading edge; c) Total heat transfer rate in the area of plate L = 8 cm from the leading edge and width w = 10 cm.A heat treat steel plate measures 3 m *1 m and is initially at 30 degree Celsius. It is cooled by blowing air parallel to 1 m edge at 9 km/hr. If the air is at 10 degree Celsius. Estimate the convective heat transfer from both sides of the plate.
- Given engine oil at 60 oC flows over the upper surface of a 5 m long flat plate which temperature is 20 oC. Justify the value of x (m2/s) to get the turbulent flow for the total drag force and the rate of heat transfer per unit width of the plate. Discuss your idea.Air at standard pressure flows across a flat plate at 3m/s. The temperature surface is 50oC and the surrounding temperature is 20o Consider a point 1m away from the leading edge of the plate. See Table A-15 in Appendix 1 for properties of air. Determine the Reynold’s number and Prandtl number for this flow at the location described above. Determine the local flow boundary layer thickness. Determine the local thermal boundary layer thickness for this flow. Find the local Nusselt number. Based on this Nusselt number, what is the local convective heat flux from the plate to the air?Air at atmospheric pressure and a temperature of 25 degrees C is in parallel flow at a velocity of 5 m/s over a 1-m-long flat plate that is heated from below with a uniform heat flux of 1250 W/m2 . Assume the flow is fully turbulent over the length of the plate. Take ν = 18.76 × 10−6 m2/s, k = 0.0284 W/m·K and Pr =0.703. (a) Calculate the plate surface temperature, Ts(L), and the local convection coefficient, hx(L), at the trailing edge, x = L. (b) Calculate the average temperature of the plate surface.
- For the steady flat plate boundary layer flow, determine the wall shear stress assuming the following velocity profile. Where, δ is the boundary layer thickness and U is the outer flow velocity (constant).Air at 20oC and 1 atm flows over a flat plate at 35 m/s. The plate is 75 cm long and 100 cm depth and is maintained at 60oC. Calculate (a) velocity boundary layer thickness at the leading edge, (b) thermal boundary layer thickness at the distance of 10 cm from the leading edge, and (c) thermal boundary layer thickness at the trailing edge.