EXAMPLE 10.6 Discretize the equation =0 at node (i, j) of an interior corner axəy with the convection boundary condition as shown in Fig. 10.8. i, j+ 1 i-1, j i+ 1.j T h i, j-1 Ar
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- 5.43 A refrigeration truck is traveling at 130 km/h on a desert highway where the air temperature is . The body of the truck is idealized as a rectangular box 3 m wide, 2.1 m high, and 6 m long, at a surface temperature . Assume that (1) the heat transfer from the front and back of the truck is neglected, (2) the stream does not separate from the surface, and (3) the boundary layer is turbulent over the whole surface. Calculate the required cooling rate of the refrigeration unit.Problem: Convection related Air at atmospheric pressure and a temperature of 25°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 1,250 W/m^2. Assume the flow is fully turbulent over the length of the plate. (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, T¯s. (c) Plot the variation of the surface temperature, Ts(x), and the convection coefficient, hx(x), with distance on the same graph. Explain the key features of these distributions.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.
- FUNDAMENTALS OF CONVECTION Consider a flat plate positioned inside a wind tunnel, and air at 1 atm and 20°C is flowing with a free stream velocity of 60 m/s. What is the minimum length of the plate necessary for the Reynolds number to reach 2x107? If the critical Reynolds number is 5x105, what type of flow regime would the airflow experience at 0.2 m from the leading edge? Please, I need the solution from fundamental concepts of how the heat flow behaves in the system. That it be answered with theory of the subjectipe 1 ft (0.3048 m) in diameter is maintained at a temperature of 250°C in a room ent air is at 15°C. Calculate the free-convection heat loss per meter of length.Using the equations for the Barometric Law and temperature decrease from adiabatic expansion (found in the lecture, calculate the atmospheric temperature at 5 km. Assume dry air, i.e. gamma equal to 1.4, temperature at the surface is 288 K. Group of answer choices These laws cannot predict the temperature at 5 km. 288 K 148 K 243 K
- 1-The wind blows with velocity 0.4 m/s parallel to the both sides of a flat plate with rectangular area 10m×10 m. The plate temperature is T0=60◦C, and the temperature of the air free stream is 20◦C. Assume laminar flow and calculate: (a) maximum boundary layer thickness, (b) the total force experienced by the plate, (c) estimate the total heat transfer rate by laminar forced convection (d) Make a qualitative sketch of how the local heat flux qx and τx varies along the length L.a 12.7cm diameter duct is maintained at a constant temperature of 245c by hot combustion gases flowing inside the duct. The duct is located horizontally in a warehouse area having an ambient temp of 15C. Calculate the length of the duct necessary to provide 36630W of convection heating. neglect heat transfer due to radiation. write assumptions and draw a sketchCold fluid flows at a velocity of 8 m/s over a hot flat plate. The flow is laminar, and the velocity and temperature profiles are assumed to be linear. The fluid properties are as follows: density ρ=1.14kg/m3, viscosity μ=18.2×10−6Pa s, specific heat capacity cp=1,008J/kgK, and thermal conductivity k=0.023W/mK. What is the thickness of the thermal boundary layer at the position x=2mm downstream of the leading edge? Give your numerical answer in mm to 1 decimal place.
- A 0.407m long vertical steel plate at a surface temperature of 700K is in contact with hot air at 237K, latm absolute pressure. If E=0.81 for steel pipe:a. Calculate the total 1S1 transfer coefficient for the convection increase 1 convectionb. What is the heat loss per unit area of the surface?Solution on all other sites including this site are wrong Only attempt if previously not attempted. Answer part a and b A) Among the nondimensional numbers, in free convection, average Nusselt number depends on only Grashof and Prandtl numbers. only Grashof number. Rayleigh number. Reynolds number. B) For ideal gases, the specific heat capacity at constant pressure, thermal conductivity, dynamic viscosity, and Prandtl number are independent of pressure. How will the ratio of thicknesses of velocity boundary layer and thermal boundary layer change if pressure is increased from 1 atm to 5 atm for the flow of an ideal gas over a flat plate? We need to know the actual fluid properties to tell It will remain the same. It will decrease by a factor of 5. It will increase by a factor of 5.