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Heat dissipated from an engine in operation can cause hot spots on its surface. If the outer surface of an engine is situated in a place where oil leakage is possible, then when leaked oil comes in contact with hot spots above the oil's autoignition temperature, it can ignite spontaneously. Consider an engine cover that is made of a stainless-steel plate with a thickness of 1 cm and a thermal conductivity of 14 W/m.K. The stainless-steel plate is covered with a 5-mm-thick insulation (k= 0.5 W/m-K). The inner surface of the engine cover is exposed to hot air at 350°C with a convection heat transfer coefficient of 5 W/m2.K as shown in the figure. The 2-m-long engine outer surface is cooled by air blowing in parallel over it at 7 m/s in an environment where the ambient air is at 60°C. To prevent fire hazard in the event of oil leak on the engine cover, the engine cover surface should be kept below 180°C. It has been determined that the 5- mm-thick insulation layer is not sufficient to keep the engine cover surface below 180°C. To solve this problem, one of the plant supervisors suggested adjusting the blower capacity to provide an increase in the cooling air velocity by 10%. Airflow 60°C Engine cover 350°C Insulation Another method that could be explored to keep the engine outer surface temperature below the fire hazard limit of 180°C is to increase the insulation thickness. Increase the insulation thickness by threefold and verify if this method would keep the temperature below the required limit for the safe operation of the engine. Compare the effectiveness of this method with the previous method. It is given that the properties of air at 120°C are k = 0.03235 W/m-K, v = 2.522 x 10-5 m²/s, and Pr= 0.7073 (Table A-15). The surface temperature is 152.56 Yes , the suggested method is °C. a viable method. By comparison the effectiveness of this method is less than the previous method.

Heat dissipated from an engine in operation can cause hot spots on its surface. If the outer surface of an engine is situated in a place where oil leakage is possible, then when leaked oil comes in contact with hot spots above the oil's autoignition temperature, it can ignite spontaneously. Consider an engine cover that is made of a stainless-steel plate with a thickness of 1 cm and a thermal conductivity of 14 W/m.K. The stainless-steel plate is covered with a 5-mm-thick insulation (k= 0.5 W/m-K). The inner surface of the engine cover is exposed to hot air at 350°C with a convection heat transfer coefficient of 5 W/m2.K as shown in the figure. The 2-m-long engine outer surface is cooled by air blowing in parallel over it at 7 m/s in an environment where the ambient air is at 60°C. To prevent fire hazard in the event of oil leak on the engine cover, the engine cover surface should be kept below 180°C. It has been determined that the 5- mm-thick insulation layer is not sufficient to keep the engine cover surface below 180°C. To solve this problem, one of the plant supervisors suggested adjusting the blower capacity to provide an increase in the cooling air velocity by 10%. Airflow 60°C Engine cover 350°C Insulation Another method that could be explored to keep the engine outer surface temperature below the fire hazard limit of 180°C is to increase the insulation thickness. Increase the insulation thickness by threefold and verify if this method would keep the temperature below the required limit for the safe operation of the engine. Compare the effectiveness of this method with the previous method. It is given that the properties of air at 120°C are k = 0.03235 W/m-K, v = 2.522 x 10-5 m²/s, and Pr= 0.7073 (Table A-15). The surface temperature is 152.56 Yes , the suggested method is °C. a viable method. By comparison the effectiveness of this method is less than the previous method.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Please help answer the question regarding heat transfer. I tried solving it and came up with 152.56 oC but it says that it is incorrect. Please show how to get the correct answer. Thank you.

Required information Heat dissipated from an engine in operation can cause hot spots on its surface. If the outer surface of an engine is situated in a place where oil leakage is possible, then when leaked oil comes in contact with hot spots above the oil's autoignition temperature, it can ignite spontaneously. Consider an engine cover that is made of a stainless-steel plate with a thickness of 1 cm and a thermal conductivity of 14 W/m.K. The stainless-steel plate is covered with a 5-mm-thick insulation (k= 0.5 W/m.K). The inner surface of the engine cover is exposed to hot air at 350°C with a convection heat transfer coefficient of 5 W/m².K as shown in the figure. The 2-m-long engine outer surface is cooled by air blowing in parallel over it at 7 m/s in an environment where the ambient air is at 60°C. To prevent fire hazard in the event of oil leak on the engine cover, the engine cover surface should be kept below 180°C. It has been determined that the 5- mm-thick insulation layer is not sufficient to keep the engine cover surface below 180°C. To solve this problem, one of the plant supervisors suggested adjusting the blower capacity to provide an increase in the cooling air velocity by 10%. Yes Airflow 60°C Engine cover 350°C Insulation Another method that could be explored to keep the engine outer surface temperature below the fire hazard limit of 180°C is to increase the insulation thickness. Increase the insulation thickness by threefold and verify if this method would keep the temperature below the required limit for the safe operation of the engine. Compare the effectiveness of this method with the previous method. It is given that the properties of air at 120°C are k = 0.03235 W/m-K, v= 2.522 x 10-5 m²/s, and Pr= 0.7073 (Table A-15). The surface temperature is 152.56 °C. , the suggested method is a viable method. By comparison the effectiveness of this method is less than the previous method.
Transcribed Image Text:Required information Heat dissipated from an engine in operation can cause hot spots on its surface. If the outer surface of an engine is situated in a place where oil leakage is possible, then when leaked oil comes in contact with hot spots above the oil's autoignition temperature, it can ignite spontaneously. Consider an engine cover that is made of a stainless-steel plate with a thickness of 1 cm and a thermal conductivity of 14 W/m.K. The stainless-steel plate is covered with a 5-mm-thick insulation (k= 0.5 W/m.K). The inner surface of the engine cover is exposed to hot air at 350°C with a convection heat transfer coefficient of 5 W/m².K as shown in the figure. The 2-m-long engine outer surface is cooled by air blowing in parallel over it at 7 m/s in an environment where the ambient air is at 60°C. To prevent fire hazard in the event of oil leak on the engine cover, the engine cover surface should be kept below 180°C. It has been determined that the 5- mm-thick insulation layer is not sufficient to keep the engine cover surface below 180°C. To solve this problem, one of the plant supervisors suggested adjusting the blower capacity to provide an increase in the cooling air velocity by 10%. Yes Airflow 60°C Engine cover 350°C Insulation Another method that could be explored to keep the engine outer surface temperature below the fire hazard limit of 180°C is to increase the insulation thickness. Increase the insulation thickness by threefold and verify if this method would keep the temperature below the required limit for the safe operation of the engine. Compare the effectiveness of this method with the previous method. It is given that the properties of air at 120°C are k = 0.03235 W/m-K, v= 2.522 x 10-5 m²/s, and Pr= 0.7073 (Table A-15). The surface temperature is 152.56 °C. , the suggested method is a viable method. By comparison the effectiveness of this method is less than the previous method.
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It says surface Temperature is not 125.49oC (look at picture I attached). What would be the correct value? Thank you.

### Required Information Heat dissipated from an engine in operation can cause hot spots on its surface. If the outer surface of an engine is situated in a place where oil leakage is possible, then when leaked oil comes in contact with hot spots above the oil’s autoignition temperature, it can ignite spontaneously. Consider an engine cover that is made of a stainless-steel plate with a thickness of 1 cm and a thermal conductivity of 14 W/m·K. The stainless-steel plate is covered with a 5-mm-thick insulation (k = 0.5 W/m·K). The inner surface of the engine cover is exposed to hot air at 350°C with a convection heat transfer coefficient of 5 W/m²·K as shown in the figure. The 2-m-long engine outer surface is cooled by air blowing in parallel over it at 7 m/s in an environment where the ambient air is at 60°C. To prevent fire hazard in the event of oil leak on the engine cover, the engine cover surface should be kept below 180°C. It has been determined that the 5-mm-thick insulation layer is not sufficient to keep the engine cover surface below 180°C. To solve this problem, one of the plant supervisors suggested adjusting the blower capacity to provide an increase in the cooling air velocity by 10%. #### Diagram Explanation - **Airflow at 60°C**: Indicates the direction and temperature of the air being blown across the engine cover surface. - **Insulation Layer**: A 5-mm-thick layer on top of the engine cover, highlighted for visual reference. - **Engine Cover**: Main surface potentially exposed to overheating and leakage risk. - **Temperature Zones**: Noted area with high temperature exposure at 350°C. ### Alternative Method Exploration Another method that could be explored to keep the engine outer surface temperature below the fire hazard limit of 180°C is to increase the insulation thickness. Increase the insulation thickness by threefold and verify if this method would keep the temperature below the required limit for the safe operation of the engine. Compare the effectiveness of this method with the previous method. It is given that the properties of air at 120°C are: - \( k = 0.03235 \, \text{W/m·K} \) - \( v = 2.522 \times 10^{-5} \, \text{m²/s} \) - \(
Transcribed Image Text:### Required Information Heat dissipated from an engine in operation can cause hot spots on its surface. If the outer surface of an engine is situated in a place where oil leakage is possible, then when leaked oil comes in contact with hot spots above the oil’s autoignition temperature, it can ignite spontaneously. Consider an engine cover that is made of a stainless-steel plate with a thickness of 1 cm and a thermal conductivity of 14 W/m·K. The stainless-steel plate is covered with a 5-mm-thick insulation (k = 0.5 W/m·K). The inner surface of the engine cover is exposed to hot air at 350°C with a convection heat transfer coefficient of 5 W/m²·K as shown in the figure. The 2-m-long engine outer surface is cooled by air blowing in parallel over it at 7 m/s in an environment where the ambient air is at 60°C. To prevent fire hazard in the event of oil leak on the engine cover, the engine cover surface should be kept below 180°C. It has been determined that the 5-mm-thick insulation layer is not sufficient to keep the engine cover surface below 180°C. To solve this problem, one of the plant supervisors suggested adjusting the blower capacity to provide an increase in the cooling air velocity by 10%. #### Diagram Explanation - **Airflow at 60°C**: Indicates the direction and temperature of the air being blown across the engine cover surface. - **Insulation Layer**: A 5-mm-thick layer on top of the engine cover, highlighted for visual reference. - **Engine Cover**: Main surface potentially exposed to overheating and leakage risk. - **Temperature Zones**: Noted area with high temperature exposure at 350°C. ### Alternative Method Exploration Another method that could be explored to keep the engine outer surface temperature below the fire hazard limit of 180°C is to increase the insulation thickness. Increase the insulation thickness by threefold and verify if this method would keep the temperature below the required limit for the safe operation of the engine. Compare the effectiveness of this method with the previous method. It is given that the properties of air at 120°C are: - \( k = 0.03235 \, \text{W/m·K} \) - \( v = 2.522 \times 10^{-5} \, \text{m²/s} \) - \(
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Follow-up Question

It STILL says the answer is wron (see attached photo). Please provide correct answer. Thank you.

### Required Information Heat dissipated from an engine in operation can cause hot spots on its surface. If the outer surface of an engine is situated in a place where oil leakage is possible, then when leaked oil comes in contact with hot spots above the oil's autoignition temperature, it can ignite spontaneously. Consider an engine cover made of stainless steel with a thickness of 1 cm and a thermal conductivity of 14 W/m·K. This stainless-steel plate is covered with a 5-mm thick insulation (\(k = 0.5 \, \text{W/m·K}\)). The inner surface of the engine cover is exposed to hot air at 350°C with a convection heat transfer coefficient of 5 W/m²·K, as shown in the figure. The 2-m long engine outer surface is cooled by air blowing in parallel over it at 7 m/s in an environment where the ambient air is at 60°C. To prevent fire hazard in the event of oil leakage on the engine cover, the engine cover surface should be kept below 180°C. It has been determined that the 5-mm-thick insulation layer is not sufficient to keep the engine cover surface below 180°C. To solve this problem, one of the plant supervisors suggested adjusting the blower capacity to provide an increase in the cooling air velocity by 10%. #### Diagram Description - **Diagram Components:** - **Insulation:** Layer covering the engine cover. - **Engine cover:** Green rectangle depicted as the main component affected by the hot air. - **Airflow:** Denotes cooling air at 60°C blowing over the engine cover. - **350°C Balloon:** Indicates the temperature of the hot air affecting the engine. ### Alternative Method Another method that could be explored to keep the engine outer surface temperature below the fire hazard limit of 180°C is to increase the insulation thickness. Increasing the insulation thickness by threefold can be examined to check if this method maintains the temperature below the required limit for safe engine operation. Compare the effectiveness of this method with the previous method. Given properties of air at 120°C: - \(k = 0.03235 \, \text{W/m·K}\), - \(v = 2.522 \times 10^{-5} \, \text{m}^2/\text{s}\), - \(\text{Pr} = 0.7073\) (
Transcribed Image Text:### Required Information Heat dissipated from an engine in operation can cause hot spots on its surface. If the outer surface of an engine is situated in a place where oil leakage is possible, then when leaked oil comes in contact with hot spots above the oil's autoignition temperature, it can ignite spontaneously. Consider an engine cover made of stainless steel with a thickness of 1 cm and a thermal conductivity of 14 W/m·K. This stainless-steel plate is covered with a 5-mm thick insulation (\(k = 0.5 \, \text{W/m·K}\)). The inner surface of the engine cover is exposed to hot air at 350°C with a convection heat transfer coefficient of 5 W/m²·K, as shown in the figure. The 2-m long engine outer surface is cooled by air blowing in parallel over it at 7 m/s in an environment where the ambient air is at 60°C. To prevent fire hazard in the event of oil leakage on the engine cover, the engine cover surface should be kept below 180°C. It has been determined that the 5-mm-thick insulation layer is not sufficient to keep the engine cover surface below 180°C. To solve this problem, one of the plant supervisors suggested adjusting the blower capacity to provide an increase in the cooling air velocity by 10%. #### Diagram Description - **Diagram Components:** - **Insulation:** Layer covering the engine cover. - **Engine cover:** Green rectangle depicted as the main component affected by the hot air. - **Airflow:** Denotes cooling air at 60°C blowing over the engine cover. - **350°C Balloon:** Indicates the temperature of the hot air affecting the engine. ### Alternative Method Another method that could be explored to keep the engine outer surface temperature below the fire hazard limit of 180°C is to increase the insulation thickness. Increasing the insulation thickness by threefold can be examined to check if this method maintains the temperature below the required limit for safe engine operation. Compare the effectiveness of this method with the previous method. Given properties of air at 120°C: - \(k = 0.03235 \, \text{W/m·K}\), - \(v = 2.522 \times 10^{-5} \, \text{m}^2/\text{s}\), - \(\text{Pr} = 0.7073\) (
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Follow-up Question

It still says the answer is wrong. Can you please solve for the correct answer? Thank you.

! Required information Heat dissipated from an engine in operation can cause hot spots on its surface. If the outer surface of an engine is situated in a place where oil leakage is possible, then when leaked oil comes in contact with hot spots above the oil's autoignition temperature, it can ignite spontaneously. Consider an engine cover that is made of a stainless-steel plate with a thickness of 1 cm and a thermal conductivity of 14 W/m.K. The stainless-steel plate is covered with a 5-mm-thick insulation (k=0.5 W/m.K). The inner surface of the engine cover is exposed to hot air at 350°C with a convection heat transfer coefficient of 5 W/m².K as shown in the figure. The 2-m-long engine outer surface is cooled by air blowing in parallel over it at 7 m/s in an environment where the ambient air is at 60°C. To prevent fire hazard in the event of oil leak on the engine cover, the engine cover surface should be kept below 180°C. It has been determined that the 5- mm-thick insulation layer is not sufficient to keep the engine cover surface below 180°C. To solve this problem, one of the plant supervisors suggested adjusting the blower capacity to provide an increase in the cooling air velocity by 10%. Yes Airflow 60°C Engine cover 350°C Insulation Another method that could be explored to keep the engine outer surface temperature below the fire hazard limit of 180°C is to increase the insulation thickness. Increase the insulation thickness by threefold and verify if this method would keep the temperature below the required limit for the safe operation of the engine. Compare the effectiveness of this method with the previous method. It is given that the properties of air at 120°C are k = 0.03235 W/m-K, v = 2.522 × 10-5 m²/s, and Pr = 0.7073 (Table A-15). The surface temperature is 125.49 °C. , the suggested method is a viable method. By comparison the effectiveness of this method is less than the previous method.
Transcribed Image Text:! Required information Heat dissipated from an engine in operation can cause hot spots on its surface. If the outer surface of an engine is situated in a place where oil leakage is possible, then when leaked oil comes in contact with hot spots above the oil's autoignition temperature, it can ignite spontaneously. Consider an engine cover that is made of a stainless-steel plate with a thickness of 1 cm and a thermal conductivity of 14 W/m.K. The stainless-steel plate is covered with a 5-mm-thick insulation (k=0.5 W/m.K). The inner surface of the engine cover is exposed to hot air at 350°C with a convection heat transfer coefficient of 5 W/m².K as shown in the figure. The 2-m-long engine outer surface is cooled by air blowing in parallel over it at 7 m/s in an environment where the ambient air is at 60°C. To prevent fire hazard in the event of oil leak on the engine cover, the engine cover surface should be kept below 180°C. It has been determined that the 5- mm-thick insulation layer is not sufficient to keep the engine cover surface below 180°C. To solve this problem, one of the plant supervisors suggested adjusting the blower capacity to provide an increase in the cooling air velocity by 10%. Yes Airflow 60°C Engine cover 350°C Insulation Another method that could be explored to keep the engine outer surface temperature below the fire hazard limit of 180°C is to increase the insulation thickness. Increase the insulation thickness by threefold and verify if this method would keep the temperature below the required limit for the safe operation of the engine. Compare the effectiveness of this method with the previous method. It is given that the properties of air at 120°C are k = 0.03235 W/m-K, v = 2.522 × 10-5 m²/s, and Pr = 0.7073 (Table A-15). The surface temperature is 125.49 °C. , the suggested method is a viable method. By comparison the effectiveness of this method is less than the previous method.
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