Question 2 atın,rere), A heated plate is sriown below. The temperatures of the left and right sides are as indicated below. The dT bottom is insulated (= 0), while the top has a rate of change of temperature, of +5 ( dT = 5). Solve for 'dy the temperatures at the 15 unknown nodes (circled in red) using the Elliptic equation, and assuming Ax = Ay = 2. Utilize the excel iterative calculation method to solve. Be sure to provide hand-written work to indicate the equations you applied at each of the nodes. dT/dy = +5 a² T a2 T 50 100 + = 0

Question 2 atın,rere), A heated plate is sriown below. The temperatures of the left and right sides are as indicated below. The dT bottom is insulated (= 0), while the top has a rate of change of temperature, of +5 ( dT = 5). Solve for 'dy the temperatures at the 15 unknown nodes (circled in red) using the Elliptic equation, and assuming Ax = Ay = 2. Utilize the excel iterative calculation method to solve. Be sure to provide hand-written work to indicate the equations you applied at each of the nodes. dT/dy = +5 a² T a2 T 50 100 + = 0

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.

Chapter1: Basic Modes Of Heat Transfer

Section: Chapter Questions

Problem 1.77P: 1.77 Explain each in your own words. (a) What is the mode of heat transfer through a large steel...

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1.77 Explain each in your own words. (a) What is the mode of heat transfer through a large steel plate that has its surfaces at specified temperatures? (b) What are the modes when the temperature on one surface of the steel plate is not specified, but the surface is exposed to a fluid at a specified temperature?
To determine the thermal conductivity of a structural material, a large 15-cm-thick slab of the material is subjected to a uniform heat flux of 2500 W/m2 while thermocouples embedded in the wall at 2.5 cm. intervals are read over a period of time. After the system had reached equilibrium, an operator recorded the thermocouple readings shown below for two different environmental conditions: Distance from the Surface (cm) Temperature (C) Test 1 0 40 5 65 10 97 15 132 Test 2 0 95 5 130 10 168 15 208 From these data, determine an approximate expression for the thermal conductivity as a function of temperature between 40 and 208C.
1.3 A furnace wall is to be constructed of brick having standard dimensions of Two kinds of material are available. One has a maximum usable temperature of 1040°C and a thermal conductivity of 1.7 W/(m K), and the other has a maximum temperature limit of 870°C and a thermal conductivity of 0.85 W/(m K). The bricks have the same cost and are laid in any manner, but we wish to design the most economical wall for a furnace with a temperature of 1040°C on the hot side and 200°C on the cold side. If the maximum amount of heat transfer permissible is 950 , determine the most economical arrangement using the available bricks.
Completely solve and box the final answer. Write legibly 3. Determine the heat loss in KW of a vertical furnace made up of inner wall of firebrick 28 cm thick followed by insulating brick 18 cm thick and an outer wall of steel 1.5 cm thick. Surface temperature of the wall adjacent to the combustion chamber is 895ºC while that of the outer surface of steel is 42ºC. Use a thermal conductivity of wall in W/m-ºK for firebrick, insulating brick and steel to be 14, 0.92, and 52 respectively. The cross section is 2.5 m x 7.5 m.
Newtons laws of cooling proposes that the rate of change of temperature is proportional to the temperature difference to the ambient (room) temperature. And can be modelled using the equation: dT/dt = -k (T-Ta)It can also be written as dT/T-Ta = -k dtWhere:T = Temperature of materialTa = Ambient (room) temperaturek = A cooling constanta) integrate both sides of the equation and show that the temperature difference is given by:(T-Ta) = CoE^-kt(Co is a constant for this problem)B) calculate Co if the initial temperature is 70 degrees C and Ta = 20 degrees C?
solve step by step and correctly. A family enters a winter vacation cabin has been unheated for such a long time the interior temperature is the same as the outside temperature (00C). The cabin consists of a single room of floor area 4m by 4m and height 3m. The room contains one 2kW electric heater. Assuming that the room is perfectly airtight and that all the heat from the electric heater is absorbed by the air, none escaping through the walls or being absorbed by the furnishing, how long after the heater is turned on will the temperature reach the comfort level of 240C.
After the sinking of RMS Titanic, US operated the International Ice patrol with the purpose of monitoring the presence and movements of icebergs in the Atlantic and Arctic oceans. Once, they observed a unique tabular iceberg in a form of a rectangle (250 km x 50 km x 300 m). How many years would it take to melt the iceberg solely by heat from the sun if the ice absorbs a mean of 98 J/m2 -s, 12.5 hrs per day? Note: the exposed area for heating is 250 km x 50 km and the density is 920 kg/m3 . This is my solution.
PLEASE SOLVE THE FOLLOWING THREE QUESTIONS Question G: Generally speaking, (no numbers required), at what point does Newton's Model of Cooling (T=A+Be^kx) (when regarding dead bodies' temperatures) no longer work? What in reality gives us an indication that we’ve taken it too far? Question H: Assuming that the temperature of the person at the time of death (TOD) was 98.6 °F, set up a TOD equation using the values of ,A, ,B, and k you’ve calculated. Then, solve the equation using the same logarithm method you used to solve for .k. A: 68 Farehneits, B: 17.9 Fareinheit K: -0.002564 TOD: 98.6 Fareinheit Plug the above info into Newton's law of cooling: (T=A+Be^kx) Write your answer as a time, not just as x minutes. Recall that when ,x=0, the time is 2:00 PM. Question I: When forensic expert determines the time of death, they often have additional information besides body temperature. Suppose a coroner finds that the person who was murdered had an infection that probably raised the…
The bottom of a 50mm diameter, 2mm thick metallic induction heater is 120C while its thermal conductivity is 60 W/m-C. The voltage and current flowing into the heater are 220V and 5A, respectively. Find the temperature at the top portion of the pan. Sketch diagram and show pertinent solutions. Box your final answer and express numerical values in 2 decimal places
You are tasked to design a cooling system for an ice rink. A standard ice rink has surface area ofArink = 1580 m2 . In this design, a technologically advanced solid state thermoelectric generatingcooling plate is placed in between concrete slabs. The following diagram contains the dimensionalparameters of the design (a) In the space below, with your best effort to correspond to the above diagram, draw a thermalcircuit that establishes the relationship between the cooling plate’s heat rate, Q, and the system’stemperatures and thermal resistances. Label the appropriate dimensions, thermal conductivities,convection coefficient, and temperatures. Ignore effects from contact resistance. (b) Given that the temperature at the top surface of the ice must be T ice = -5°C, obtain the requiredheat rate Q that must be drawn by the cooling plate in units Kilowatts. Be careful of +/- sign.Answer: ____________________________ [kW] c) Using the thermal circuit you established in Part (a), obtain the…
1. Residual oil, with a heating value of 18,480 BTU/bm, is used as a fuel in a power plant which produces 947,870 BTU/s of electricity. The overall efficiency of the power plant is 52 Determine the: a. Heat input, in BTUs b. Daily fuel consumption, in lbm C. Dimensions of the cylindrical storage (assuming length is equal to the diameter), in ft. d. Heat rejected the environment, in BTU/s. The density of the oil is 62 ID/ft.
For a specified heat input and a given volume which material will have the smallest tempera- ture rise (Use data book if necessary) (a) steel (b) aluminium (c) water (d) copper. When a hot metal piece is left to cool in air the time rate of cooling of the outer layer will be (a) slower at start and faster near the end (b) faster at start and slower near the end (c) both rates will be the same (d) this will depend on the material. (viii) A thin black plate at temperature T receives radiation from a surface at Temperature T1 and radiates to a surface at T2. If all surfaces are black at steady state (a) (T1 – T) > (T – T2) (b) (T1 – T) < (T – T2) (c) (T1 – T) = (T – T2) (d) can be any one of a, b or c. (ix) The temperature profile (in) a slab initially at a constant temperature and then allowed to cool by convection for a short time will be as shown in Fig : (a) E1.2a (b) E1.2b (c) E1.2c (d) E1.2d. Ti