Example 1 The composite wall of an oven consists of three materials as shown below, what is the heat flux, q through the wall? And the thermal conductivity of the middle layer, k,?
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A: for solution refer below images.
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- 2.50 Compare the rate of heat flow from the bottom to the top of the aluminum structure shown in the sketch below with the rate of heat flow through a solid slab. The top is at v, the bottom at . The holes are filled with insulation that does not conduct heat appreciably.A plane wall of thickness 2L has internal heat sources whose strength varies according to qG=qocos(ax) Where qo is the heat generated per unit volume at the center of the wall (x=0) and a is a constant. If both sides of the wall are maintained at a constant temperature of Tw, derive an expression for the total heat loss from the wall per unit surface area.As a designer working for a major electric appliance manufacturer, you are required to estimate the amount of fiberglass insulation packing (k = 0.035 W/m K) that is needed for a kitchen oven shown in the figure below. The fiberglass layer is to be sandwiched between a 2-mm-thick aluminum cladding plate on the outside and a 5-mm-thick stainless steel plate on the inside that forms the core of the oven. The insulation thickness is such that the outside cladding temperature does not exceed 40C when the temperature at the inside surface of the oven is 300C. Also, the air temperature in the kitchen varies from 15Cto33C, and the average heat transfer coefficient between the outer surface of the oven and air is estimated to be 12.0W/m2K. Determine the thickness of the fiberglass insulation that is required for these conditions. What would be the outer surface temperature when the inside surface of the oven is at 475C?
- 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 placesDetermine the temperature rise that would occur when 2 kg of the following materials are exposed to a heating element putting out 500 J. Discuss your assumptions.a. The material is copper.b. The material is aluminum.c. The material is concrete.A room has a pine ceiling [ k = 0.12 W/(m•C°) ] that measures 3.0 m x 4.0 m x 2.0 cm. On a cold day, the temperature inside the room is 20°C, and the temperature in the attic above is 8°C. If 6.0 cm of glass wool insulation [ k = 0.042 W/(m•C°) ] were put in above the ceiling, how much energy would be saved in one hour? Please use gresa method
- R Value: Wall: 0.961m2k/w Floor: 0.676m2k/w Roof: 0.7465m2k/w In a table format show with calculations and research how much money you can save by installing a 115mm layer of insulation (R2.9) in your walls, floor and ceiling over a 5 and 10 year period. Consider the capital costs. Hint: State the current R value of each component. Convert to U value. Calculate new R value of each component (walls, floor and ceiling). Convert to U value. Use Q(W)=A*(change in U)*temperature change. Determine price for installation of new insulation. Determine price saved based on less heat loss through each component separately, then add all values together, and calculate per 5 years and per 10 years. Present all of this information in a table. You do not need to draw any diagrams, simply add the R value in series with your current components R values. Assume the energy cost is 25 cents kWhQigihar House in Heilongiiang Province, China Heat Loss Problems, BSCl 2101 Climate: Avg. remperature is 3.2°C Degree Days is 5000 Inside Air Temp. is 20°C Wall Construction, Inside to Out: 15mm Gypsum Plaster, Sand Aggregate Concrete Block, rectangular core, Sand and Gravi 15mm Cement Plaster, Sand Aggregate All 4 walls measure the same, 8m wide by 7mtall. The house is heated with electricity at a cost of $0.10kWh Calculate the RSI-total for the walls using the tabular method demonstrated in class, and the temperature drop through each element for the January 2.5% temperature. Calculate the rate of heat flow through the wall again for the January 2.5% temperature. Plot the temperature profile approximately to scale through a vertical cross-section of the wall. Calculate the January heating cost for the building. Calculate the annual heating cost for the building. Now add 2" ( 50.8mm ) of extruded polystyrene, smooth skin surface, 35kgm3 rigid insulation to the inside surfaces…A steel rail AB is laid between two adjacent rails with a gap ∆ to accommodate thermal expansion (Fig. 1).(a) What is the gap ∆ needed to ensure that the rails touch one another without transmitting any force if the temperature is raised from T1 = −15◦F to T2 = 95◦F?(b) On a particularly hot day, the temperature rises to T3 = 115◦F, which results in a force P in the rails. Calculate the force.(c) What should be the minimum second moment of area I to ensure that the column does not buckle under the force P calculated in (b) above? Assume pin-jointed support at both ends of the rail.TakeE=30×103 ksi,α=6.5×10−6/◦F,andA=5.0in2.
- In a room 12'-4" by 13'-9" with 8'-0" high ceilings, there is one door 3'x7' and two windows 4' square. Assume there is no waste in materials, and round off your answer to the next larget unit. A. How much wall surface in square feet is there to paint? B. What is the floor area? C. How many gallons of paint will be required to cover the walls with 2 coats of paint if each gallon covers 200 square feet of surface? D. How many lineal feet of cove base floor trim will be required?On a winters day the outside temperature of a 15 inch thick concrete wall is -25F, the wall is 16 ft long and 10 ft high. How manu BTU are required to keep the inside of the wall at 75F? Assume walls thermal conductivity is 0.8BTU/h ft F. Show detailed solutionsI need answers with clear hand writing or using Microsoft word . ASAP INTRODUCTION: for (HEAT TRANSFER THROUGH COMPOSITE WALLS) note: i want a lot of information