In the arctic sea, the ice sheets are melting. Let's calculate the temperautre distribution in one such ice sheet. The sheet is 2 m thick. Under the sheet there is ice-water mixture and it can be assumed that the temperature of the bottom surface of the ice sheet is approximately 0°C. Air at -20°C is blowing above the sheet. The convection coefficient of air is 15 W/m².K. The thermal conductivity of ice is 2.2 W/m.K. What is the temperautre of icesheet at its center (i.e., at 1 m from the surface)?

In the arctic sea, the ice sheets are melting. Let's calculate the temperautre distribution in one such ice sheet. The sheet is 2 m thick. Under the sheet there is ice-water mixture and it can be assumed that the temperature of the bottom surface of the ice sheet is approximately 0°C. Air at -20°C is blowing above the sheet. The convection coefficient of air is 15 W/m².K. The thermal conductivity of ice is 2.2 W/m.K. What is the temperautre of icesheet at its center (i.e., at 1 m from the surface)?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.25P

See similar textbooks

Similar questions

ricant An oil is acting as a lubricant for a pair of cylindrical surfaces such as those shown in 1. The angular velocity of the outer cylinder is 7908 rpmt. The outer cylinder has a radius of 5.06 cm, and the clearance between the cylinders is 0.027 cm. What is the maxi- mum temperature in the oil if both wall temperatures are known to be 158° F? The physical properties of the oil are viscosity density thermal conductivity 92.3 cp 1.22 g cm-3 0.0055 cal sec-1 cm-1 ° C-1
A food product with 80% moisture content in a 10 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 -2.25 ° C. After 15 hours in the freezing medium -35 ° 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).
Example 1 Engine oil at 60°C flows over a 5 m long flat plate whose temperature is 20°C with a velocity of 2 m/s with a surface film temperature of 40°C. The density, thermal conductivity, Prandlt No. and kinematic viscosity are 876 kg/m², 0.144 W/m.K, 28270, and 242 x 10$ m²/s, respectively. Determine the total drag force and the rate of heat transfer per unit width of the entire plate. oil T- = 60°C V-=2 m/s T=20°C- L= 5 m We assume the critical Reynolds number is 5x105. The properties of the oil at the film temperature are:
A circular plate of diameter (2.07 m) is placed some how 1.5 meter above the room floor, if the Raleigh number can be approximated by Ra=7.653E7*D and temperature difference between surface and room air temperature is 73 C, air properties: k= 0.0372 W/m.K, Pr 0.686.What is the initial rate of cooling by convection from the Upper surface ONLY (Watts)?
A circular plate of diameter (1.36 m) is placed some how 1.5 meter above the room floor, if the Raleigh number approximated by Ra=7.653E7*D° and temperature difference between surface and room air temperature is 73 C, air properties: k = 0.0372 W/m.K, Pr = 0.686 . What is the initial rate of cooling by convection from the Upper surface ONLY (Watts)? be can Select one: A. 1004.31 B. 1387.95 C. 1134.87 D. 1263.42 E. 368.99
A food product with 80% moisture content in a 10 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 14 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.
A food product with 80% moisture content in a 5 cm diameter can wants to be frozen. The density of the product is 1000 kg / m cubic, the thermal conductivity is 1.0 W / (m K), and the initial freezing temperature is -1.75 ° C. After 10 hours in -25 ° C freezing medium, the product temperature becomes -10 ° C. Estimate the convection heat transfer coefficient of the freezing medium. Assume the can as an infinite cylinder
A circular plate of diameter (0.74 m) is placed some how 1.5 mețer above the room floor, if the Raleigh number can be approximated by Ra= 7.653E7 D and temperature difference between surface and room air temperature is 73 C, air properties: k= 0.0372 W/m.K, Pr=0.686. What is the initial rate of cooling by convection (kJ/s) from the Lower surface ONLY (Watts)? Select one: O A. 148.40 O B. 45.93 O C 297.52 O D. 219.07 O E 70.67
Fluid flows over a flat plate, 1.2 m long. The direction of flow is along the length of the plate and parallel to the surface of the plate. The plate is held at a constant temperature of 283 K. Velocity and temperature profiles are assumed to be linear inside the boundary layers. The free stream temperature of the fluid is 340 K and it travels at 5 m/s. The fluid properties are as follows: thermal conductivity = 0.029 W/mK, density = 0.92 kg/m3, viscosity = 12.9 x 10-6 Pa.s, and specific heat capacity = 1003 J/kgK. The value of the Nusselt number at the tailing edge of the flat plate is: [ans1] The convective heat transfer from the middle of the flat plate is: [ans2] W/m2 step by step working out piease, hit final answer is 145, -281 respectively
Small potato balls of 0.5 cm radius (can be approximated as a sphere) baked in the oven and initially at a uniform temperature of 170°C. Assume, potatoes have a density of 650 kg/m³, specific heat of 3400 J/kgk and conductivity of 1 W/mK. You want to eat potatoes quickly without burning your tongue so that you have decided to cool them down with forced convection. Air h, Te hot potato initially @ T; Air temperature is 20°C and the convective heat transfer coefficient is 80 W/m?K. Calculate the time (in seconds) required for its surface temperature to drop 130°C. Round the value you calculated and write it as an integer!!! For example, if you find 8.2, write is as 8. Answer:
If forced convection uses Reynolds number to account for fluid movement during forced convection, what dimensionless number is used for natural convection?
Need answer ASAP! Thank you Water at 5°C is being used to cool apples from an initial temperature of 25° to 10°C. Thewater flow over the surface of the apple creates a convective heat-transfer coefficientof 10 W/(m2-K). Assume the apple can be described as a sphere with an 8 cm diameterand the geometric center is to be reduced to 10°C. The apple properties include thermalconductivity of 0.4 W/(m-K), specific heat of 3.950 kJ/(kg-K), and density of 940 kg/m3 a. Determine the time that the apples must be exposed to the water.b. If the apple is submerged only for 2 hours, what will be its center temperature?