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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?5.10 Experiments have been performed on the temperature distribution in a homogeneous long cylinder (0.1 m diameter, thermal conductivity of 0.2 W/m K) with uniform internal heat generation. By dimensional analysis, determine the relation between the steady-state temperature at the center of the cylinder , the diameter, the thermal conductivity, and the rate of heat generation. Take the temperature at the surface as your datum. What is the equation for the center temperature if the difference between center and surface temperature is when the heat generation is ?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.
- Completely solve and box the final answer. Write legibly 1. How much heat will be transferred in KW if a hot gas at 175ºC crosses a wall 100-mm thick and cross-sectional dimensions of 25 cm x 52 cm. It leaves the wall at 52ºC. The thermal conductivity of the wall is 12.4 W/m-ºK?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?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…
- 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.I am able to find the first row and the first column of by hand. However, When I do the 2nd row and 2nd column, my answer doesnt match my matlab code. Would someone be able to help me? Thank you! Use the explicit method to solve by hand the 1D heat equation for the temperature distribution in a laterally insulated wire with a length of 1 cm, whose ends are kept at T(0) = 0 0C and T(1) = 0 0C, for 0 ≤ x ≤ 1 and 0 ≤ t ≤ 0.5. At t = 0, the temperature of the wire is subjected to initial condition T(x) = 100sin(πx). Use the following values of k = 0.15 cm2/s, Δx = 0.25 cm, and Δt = 0.1 s. Calculate by hand the values of temperature at the internal mesh points only for the first time row at t = 0.1 s. Verify the values of temperature at t = 0.1 s calculated by hand. Use Heat1DCN.m M-file to solve the 1D heat equation within the space-time domain 0 ≤ x ≤ 1 and 0 ≤ t ≤ 2 with Δx = 0.05 cm and Δt = 0.1 s. Make the plot of temperature surface.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). The sun is the only source of heat and the ice absorbs a mean of 98 J/m2-s, 12.5 hrs per day. The exposed area for heating is 250 km x 50 km and the density is 920 kg/m3. What is the total mass of the iceberg? Express answer in kg and in scientific notation with two decimal places. To input: if the answer is 4.78x1025, input 4.78e25.
- 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). The sun is the only source of heat and the ice absorbs a mean of 98 J/m2-s, 12.5 hrs per day. The exposed area for heating is 250 km x 50 km and the density is 920 kg/m3. How much heat does the exposed heating area absorb per day? Express answer in J/day and in scientific notation with four decimal places. To input: if the answer is 4.7834x1025, input 4.7834e25.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). The sun is the only source of heat and the ice absorbs a mean of 98 J/m2-s, 12.5 hrs per day. The exposed area for heating is 250 km x 50 km and the density is 920 kg/m3. Which of the following statements is/are correct based on the above description? Check all that apply. The total amount of the heat absorbed by the ice has negative sign. The heat involved are both latent and sensible heats. The mass of the iceberg can be determined from the given density and dimensions. The heat involved is latent heat only.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). The sun is the only source of heat and the ice absorbs a mean of 98 J/m2-s, 12.5 hrs per day. The exposed area for heating is 250 km x 50 km and the density is 920 kg/m3. The latent heat of fusion/melting of ice is 333.5 J/kg. A year has 365 days. How many years would it take to melt the iceberg solely by heat from the sun? Express answer in two decimal places. Hint: To get time, divide the heat of melting by the heat provided by the sun.