In infinitely long parallel plates, Biot number and Fourier number are 0.2 and (15). Find the temperature distribution at center, temperature distribution at plate surface, and actual to maximum heat transfer ratio.
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In infinitely long parallel plates, Biot number and Fourier number are 0.2 and (15).
Find the temperature distribution at center, temperature distribution at plate surface, and
actual to maximum heat transfer ratio.
Step by step
Solved in 4 steps with 4 images
- 3.10 A spherical shell satellite (3-m-OD, 1.25-cm-thick stainless steel walls) re-enters the atmosphere from outer space. If its original temperature is 38°C, the effective average temperature of the atmosphere is 1093°C, and the effective heat transfer coefficient is , estimate the temperature of the shell after reentry, assuming the time of reentry is 10 min and the interior of the shell is evacuated.One end of a 0.3-m-long steel rod is connected to a wall at 204C. The other end is connected to a wall that is maintained at 93C. Air is blown across the rod so that a heat transfer coefficient of 17W/m2 K is maintained over the entire surface. If the diameter of the rod is 5 cm and the temperature of the air is 38C, what is the net rate of heat loss to the air?The heat transfer coefficient for a gas flowing over a thin float plate 3-m long and 0.3-m wide varies with distance from the leading edge according to hc(x)=10x1/4Wm2K If the plate temperature is 170C and the gas temperature is 30C, calculate (a) the average heat transfer coefficient, (b) the rate of heat transfer between the plate and the gas, and (c) the local heat flux 2 m from the leading edge. Problem 1.18
- 1.4 To measure thermal conductivity, two similar 1-cm-thick specimens are placed in the apparatus shown in the accompanying sketch. Electric current is supplied to the guard heater, and a wattmeter shows that the power dissipation is 10 W. Thermocouples attached to the warmer and to the cooler surfaces show temperatures of 322 and 300 K, respectively. Calculate the thermal conductivity of the material at the mean temperature in W/m K. Problem 1.4In infinitely long parallel plates, Biot number and Fourier number are 0.2 and (10).Find the temperature distribution at center, temperature distribution at plate surface, andactual to maximum heat transfer ratio. uses charts/table also if neededIn a hot ball, Biot number and Fourier number are 0.2 and (10). Find the temperaturedistribution at center, temperature distribution at ball surface, and actual to maximum heattransfer ratio uses charts/table also if needed
- 3. A food product with 80% moisture content in a 7 cm diameter can wants to be frozen. The density of the product is 1000 kg / m³, the thermal conductivity is 1.0 W / (m K), and the initial freezing temperature is -2 ° C. After 11 hours in the freezing medium -30 ° C, the product temperature becomes -10 ° C. Estimate the convection heat transfer coefficient of the freezing medium. Assume the can as an infinite cylinder. h = Answer W / (m² K).An underwater sonar that maps the ocean bathymetry is encapsulated in a sphere with a diameter of 85 mm. During operation, the sonar generates heat at a rate of 300W. What is the sonar surface temperature when it’s located in a water column where the temperature is 15o C and the water current is 1 m/sec? The sonar was pulled out of the water without turning it off, thus, it was still working. The air temperature was 15o C and the air speed was 3 m/sec. What was the sonar surface temperature? Was there any reason for concern?(a) Consider nodal configuration shown below. (a) Derive the finite-difference equations under steady-state conditions if the boundary is insulated. (b) Find the value of Tm,n if you know that Tm, n+1= 12 °C, Tm, n-1 = 8 °C, Tm-1, n = 10 °C, Ax = Ay = 10 mm, and k = = W 3 m. k . Ay m-1, n m, n | Δx=" m, n+1 m, n-1 The side insulated
- The wall (thickness L) of a furnace, with inside temperature 800° C, is comprised of brick material (thermal conductivity = 0.02 W m-! K-')). Given that the wall thickness is 12 cm, the atmospheric temperature is 0° C, the density and heat capacity of the brick material are 1.9 gm cm-3 and 6.0 J kg~1 K-l respectively, estimate the temperature profile within the brick wall after 2 hours. Solve the partial differential equation ()-~ ƏT ƏT subject to the initial condition T(x,0) = 800 sin ; 2L %3D and boundary conditions at the inner (z = L) and outer (r = 0) walls of T = 0 x =0 at and ƏT I = L at Find the temperature profile at T = 7200 seconds = 2 hours.Don’t use Heissler charts to answer this question Heat sterilization of lumber, timbers, and pallets is used to kill insects to prevent their transfer between countries in international trade. This is analogous to food sterilization by heat. A typical requirement here is that the slowest heating point of any woodconfiguration be held at 56 °C for 30 minutes. Consider hot air heating of wooden boards that maintains their surface temperature at 70 °C. The boards are stacked outside and in the winter time they can be considered to be at 0 °Cwhen theyare brought in for heating. The thermal diffusivity of the wood is 9*10-8m2/s. a.Calculate the time from the start of heating for a 2.5 cm thick board to reach a sterilization temperature of 56 °C at its slowest heating point .b.Calculate the heating time when four such boards are stacked together. c.Calculate the ratio of the two heating times (for a single board versus when they are stacked), and explain the ratio. Note: You’re free to…What is the minimum amount of ice at OPC that must be added to the contents of a can of diet cola (340m) to cool it down from 20.5C to 0C Assume that the specific heat and density of the diet colo are the same as for water and that no heat is gained or lost to the surroundings. The latent heat of fusion of ice à 3353/g Specific Heat of water 4.184 J/gK and Density of water is 1 g/mL