Engine oil at 80°C flows over a flat surface at 40°C for cooling purpose, the flow velocity being 2 m/s. Determine at a distance of 0.4 m from the leading edge the hydrodynamic and thermal boundary layer thickness. Also determine the local and average values of friction and convection coefficients.
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- A steam reservoir is covered by a rectangular plate (its length is 1 m and width 2 m). The steam temperature is 95o C, and it is in contact with the plate. Over the outside surface of the plate, water is flowing at a speed of 3 m/sec at a temperature of 25o C. What is the mean Nusselt number over the plate? What is the mean heat transfer convective coefficient over the plate? What is the heat transfer rate to the water?Required information Water at 20°C is flowing with velocity of 0.89 m/s between two parallel flat plates placed 1 cm apart. Given: The properties of water at 20°C are p= 998.0 kg/m3, µ = 1.002 x 103 kg/m-s and Pr = 7.01 Determine/the distance from the entrance at which the velocity boundary layers meet. (Round the final answer to one decimal place.) The distance from the entrance at which the velocity boundary layers meet is m.Q5) Air at -10°C flows over a flat surface at 10°C with a free stream velocity of 80 m/s. The length of the plate is 3.1 m. Determine the location at which the flow turns turbulent. Also determine the local value of convection coefficient assuming that the flow is turbulent although.
- -1/5 A// For laminar flow over a flat plate, the local heat transfer coefficient h, is known to vary as x¹/5, where x is the distance from the leading edge (x =0) of the plate. What is the ratio of the average coefficient between the leading edge and some location x on the plate to the local coefficient at x? for velocity equation u= 2-0.43x+x² Plot the local heat transfer coefficient over a 0.8 cm length(take T-35c) B// Air at 1 atm and 15°C flows through a long rectangular duct 7.5 cm by 15 cm. A 1.8-m section of the duct is maintained at 120°C, and the average air temperature at exit from this section is 65°C. Calculate the airflow rate and the total heat transferQ2) In flow over a surface, velocity and temperature profiles are of the forms u(y) = Ay + By² + Cy3 and T(y) = D+ Ey + Fy? - Gy3 where the coefficients A through G are constants. Obtain expressions for the friction coefficient C, and the convection coefficient h in terms of uo, To, and appropriate profile coefficients and fluid properties. Q3) Water at a temperature of T = 25°C flows over one of the surfaces of a steel wall (AISI 1010) whose temperature is Ts1 = 40°C. The wall is 0.35 m thick, and its other surface temperature is Ts,2 = 100°C. For steady state conditions what is the convection coefficient associated with the water flow? What is the temperature gradient in the wall and in the water that is in contact with the wall? Sketch the temperature distribution in the wall and in the adjoining water.Q8) A 0.4 W cylindrical electronic component with diameter 0.3 cm and length 1.8 cm and mounted on a circuit board is cooled by air flowing across it at a velocity of 150 of the m/min. If the air temperature is 40°C, determine the surface temperature component. om
- Air at 20 ◦ C flows inside a pipe 18-mm-ID having a uniform heat flux of 150 W/m 2 on the surface, the average flow velocity at entry being 1.0 m/s. The air pressure is 2 bar. Determine the value of convection coefficient. If the pipe is 2.5 m long, determine the air exit temperature and the wall temperature at the exit. Assume fully developed hydrodynamic boundary layer.Q2/Engine oil at 80°C flows over a 6-m-long flat plate whose temperature is 30°C with a velocity of 3 m/s. Determine the total drag force and the rate of heat transfer over the entire plate per unit width.A printed circuit board with constant surface temperature dissipates 100 W from one side over an area (0.3 mx 0.2 m). A fan is use to cool this board with a flow speed of 12 m/s parallel to the longest dimension of the board. Calculate: 1. The surface temperature of the board for an air temperature of 30 C. 2. Thickness of hydrodynamic and thermal boundary layer. 3. Amount of change in heat transfer rate if the flow parallel to the short dimension. Cp-1000 J/kg.K, k-0.03 W/m.C, Pr-0.667, u = 2 x 105 kg/m.s, p=1.15 kg/m³ Laminar flow, Nu= 0.664Rel/2Pr1/3, Turbule flow, Nu= 0.037Re4/5Prl/3
- A 4m x 4m flat piale maintained at a constant temperature of NOC is subjected to parallel flow of nit at I am. 20 ', and 10 m's. The total drag force acting on the upper surface of the plate is measured to be 2.4N Determine the average convection hear transfer coefficient, and the rate of heat transfer between the upper surface of the plate and the air. The properties of air at 20 ° C and 1 atm from tables, areAir at 20°C is hydrodynamically fully developed as it flows in a 1 cm I.D. pipe. The average velocity is 0.7 m/s. If it enters a section where the pipe wall is at 60°C, what is the temperature 0.25 m farther down stream?Consider two cases involving parallel flow of dry air at V = 4.5 m/s, T, = 45°C, and atmospheric pressure over an isothermal plate at T = 20°C. In the first case, Re= 5x 105, while in the second case the flow is tripped to a turbulent state atx = 0 m. At whatx -location, in m, are the thermal boundary layer thicknesses of the two cases equal? What are the local heat fluxes, in W/m?, at this location for the two cases? x = i m Jam i W/m? i W/m? I turb