Q4-Atmospheric air at 20°C is flowing parallel to a flat plate at a velocity of 2.8m/s. Estimate the boundary layer thickness and local coefficient of skin friction at x=1.2m from the leading edge of the plate. Take the kinematic viscosity of air at 20°C=15.4×10“ m²/s.
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- Air at 1000C flows at an inlet velocity of 2 m/s between two parallel flat plates spaced 1 cm apart. Estimate the distance from the entrance to the point where the boundary layers meet.Atmospheric air is in parallel flow (u∞ = 10 m/s, T = 15°C) over a flat heater surface that is to be maintained at a temperature of 90°C. The heater surface area is 0.25 m², and the airflow is known to induce a drag force of 0.17 N on the heater. What is the electrical power, in kW, needed to maintain the prescribed surface temperature? Use the modified Reynolds or Chilton-Colburn analogy. Evaluate properties for the air at 325 K. q= i kWAir is flowing at a speed of 30 m/sec over a flat plate. The air temperature is 20o C and its pressure is 1 atm. The plate is kept at a constant temperature of 65o C. What is the heat transfer rate per unit length between 7.5 cm to 30 cm, from the edge of the plate?
- Q1- Air at 27°C and 1 atm flows over a flat plate at a speed of 2 m/s. Calculate the boundary- layer thickness at distances of 20 cm and 40 cm from the leading edge of the plate. The viscosity of air at 27°C is 1.85×105 kg/m. s. density of air 1.177kg/m³Air 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 20°C, 1 atm flows with a velocity of 4.5 m/s over a flat plate having a sharp leading edge. The plate surface isisothermal at 60°C.(a)Find out the distance from leading edge at which the flow in the boundary layer changes from laminar to turbulent.(b)Using exact solution,determinethe following parameters at the location established at part (a):(i)Thickness of the hydrodynamic boundary layer(ii)Thickness of the thermalboundary layer(iii)Local convective heat transfer coefficient(iv)Average convective heat transfer coefficient(v)Heat transfer rate from both sides per unit width of the plate(vi)Mass entrainment in the boundary layer(vii)The skin friction coefficient
- Air at 20-C and 1 atm flows over a flat plate at 35 m/s. The plate is 75 cm long and is maintained at 60-C. AJASsuming unit depth in the z direction, calculate the heat transfer from the plate. Calculate the turbulent-boundary-layer thickness at the end of the plate assuming that it develops B) from the leading edge of the plate and C) from the transition point at Recrit =5x105.Air at 20°C and with I Bar Pressure is flowing over a flat plate at a velocity of 2.801 m/s. If the plate is 27.5 cm wide and at 60°C, calculate the value of Boundary layer thickness, Average friction coefficient, Shear stress due to friction, Local convective heat transfer coefficient, Average heat transfer coefficient, Rate of heat transfer by convection and Total Drag on the plate.The properties at 40°C are:Density: 1.1298 kg/m³, cp= 1.004 kJ/kg C, k- 0.02774 w/m'C, Kinematic viscosity is 17.13 x 10°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?
- (b) In turbulent flows contrast the approaches that are used to represent the velocity profile within the boundary layer and comment on any limitations that each may offer.Air at 295 K flows at 3 m/s over a flat plate at 390 K. The air properties are as follows: density =1.1 kg/m3, viscosity =18.1×10−6 Pa.s, specific heat capacity =1005 J/kgK, and thermal conductivity =0.024 W/mK. The velocity and temperature profiles are assumed to be linear, giving the local Nusselt number to be Nux = 0.289 Rex1/ 2Pr1/3. The flow will become turbulent at a Reynolds number of 5×105. Assume the width of the plate perpendicular to the air flow is 1 m. At what distance from the leading edge does the flow become turbulent? ________m What is the heat transfer at the point of transition? ___________W What is the total heat transfer along the length of the plate where the flow is laminar? __________WAir at 10°C and 1 atm is flowing parallel at a velocity of 15.5 m/s over the top flat surface of copper plate. The top surface of the copper plate is 0.03m by 0.03m square. The temperature of copper plate is uniform at 65.6°C. For laminar flow, calculate the dimensionless Reymolds number (Nre) and Nussel number (NNu). Table A.3-3a. Physical Properties of Air at 101.325 kPa (1 Atm Abs), SI Units Bx (Bp²/1?) T (kJ/kg · u x T (Pa ·s, k (W/m 103 (1/K • (°C) T (K) (kg/m³) K) -17.8255.41.379 1.0048 1.62 × 6s or kg/m · s) · K) Npr (1/K) m³) 0.022500.7203.92 2.79 x 108 O 273.21.293 1.0048 1.72 × (0-5 0.024230.7153.65 2.04 × 108 10.0 283.21.246 1.0048 1.78 ×/0 0.024920.7133.53 1.72 x 108 37.8 311.01.137 1.0048 1.90%/0-S 0.027000.7053.22 1.12 x 108 Select one: O A. NRe = 27826.58; NNu =98.58 O B. NRe = 23215.74; NNu =152.68 O C. NRe = 27826.58; NNu = 152.68 O D. NRe = 23215.74; NNu =98.58