5 Chea Group3
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The document discusses three chemical engineering problems involving heat exchanger design and optimization. Problem 3 involves determining the optimum insulation thickness for a steam pipe. Problem 9 involves determining the cooling water flow rate and exit temperature for a condenser. Problem 15 involves determining the optimum exit temperature of cooling water and length of tubes for an air cooler.
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Answers to Problem Set
The document discusses optimizing the thickness of insulation on a horizontal 1" steel pipe carrying steam at 180°C. It provides conditions such as a thermal conductivity of 0.06 W/mK for the insulation material and a cost of $200x per meter of pipe length, where x is the thickness in meters. The optimal thickness is needed to minimize total annual cost over a 10 year period with a 15% time value of money.
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This document contains a 20-part assignment on heat and mass transfer. It includes problems related to conduction, convection, and fins. Some key topics covered are steady-state and transient heat conduction, boundary layer formation, heat transfer coefficients, and calculations involving cylindrical and spherical geometry. Students are asked to calculate heat transfer rates, temperature distributions, boundary layer thicknesses, fin efficiencies, and more for a variety of conductive and convective heat transfer scenarios.
Problem Set
The document contains three problems related to determining optimum conditions for heat exchanger design and insulation thickness:
1) It asks to determine the optimum thickness of insulation on a steam pipe given parameters like steam temperature, insulation conductivity, and insulation cost.
2) It asks to calculate the cooling water flow rate and exit temperature needed to optimally condense steam at a given rate and temperature difference, considering the heat exchanger cost and cooling water cost.
3) It asks to calculate the optimum exit temperature of cooling water and length of tubes needed to optimally cool air in a shell and tube heat exchanger, given parameters like air flow rate, temperature difference, heat transfer coefficients, cooling water cost, and exchanger
Problem Set 1
The document contains several optimization problems related to heat transfer and insulation. Problem 5 asks to determine the optimum thickness of insulation for a steam pipe given parameters like steam temperature, insulation conductivity and cost. Problem 11 asks to determine the cooling water flow rate and exit temperature to optimize condensing 2000 kg/h of vapor. Problem 17 asks to determine the optimum exit temperature and tube length for an air cooler given parameters like air flow rate, heat transfer coefficients, water cost and cooler cost.
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The document discusses optimization problems related to heat transfer in pipes and condensers. It provides conditions for four problems involving determining optimum insulation thickness, steam temperature, cooling water flow rate and exit temperature, and optimum tube length and exit cooling water temperature. Solutions are provided for each problem, calculating key parameters needed for optimal economic performance of the heat transfer systems.
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The document contains three engineering design problems related to determining optimal conditions. Problem 1 involves calculating the optimum insulation thickness for a steam pipe. Problem 7 involves determining the cooling water flow rate and exit temperature for an optimal condenser design. Problem 13 involves calculating the optimum exit temperature of cooling water and optimal length of tubes for an air cooler design.
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The document describes three optimization problems related to heat transfer. The first problem involves determining the optimal thickness of insulation on a steam pipe given parameters like steam temperature, insulation conductivity, and insulation cost. The second problem involves determining the optimal cooling water flow rate and exit temperature for a condenser given parameters like vapor flow rate, heat of condensation, cooling water temperature and cost. The third problem involves determining the optimal exit temperature of cooling water and length of tubes in an air cooler given parameters like air flow rate, temperatures, heat transfer coefficients, cooling water cost and annual fixed charges.
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The document contains multiple engineering problems related to heat transfer through walls, pipes, and other objects. It provides details like material properties, temperatures, dimensions, and heat transfer coefficients to calculate things like temperature distributions, heat transfer rates, insulation thicknesses, and timescales for heating or cooling. The problems cover a wide range of applications from insulating steam pipes to heating metal spheres to reentry of a satellite through the atmosphere.
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The document discusses optimizing the thickness of insulation on a horizontal 1" steel pipe carrying steam at 180°C. It provides conditions such as a thermal conductivity of 0.06 W/mK for the insulation material and a cost of $200x per meter of pipe length, where x is the thickness in meters. The optimal thickness is needed to minimize total annual cost over a 10 year period with a 15% time value of money.
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This document contains a 20-part assignment on heat and mass transfer. It includes problems related to conduction, convection, and fins. Some key topics covered are steady-state and transient heat conduction, boundary layer formation, heat transfer coefficients, and calculations involving cylindrical and spherical geometry. Students are asked to calculate heat transfer rates, temperature distributions, boundary layer thicknesses, fin efficiencies, and more for a variety of conductive and convective heat transfer scenarios.
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The document contains three problems related to determining optimum conditions for heat exchanger design and insulation thickness:
1) It asks to determine the optimum thickness of insulation on a steam pipe given parameters like steam temperature, insulation conductivity, and insulation cost.
2) It asks to calculate the cooling water flow rate and exit temperature needed to optimally condense steam at a given rate and temperature difference, considering the heat exchanger cost and cooling water cost.
3) It asks to calculate the optimum exit temperature of cooling water and length of tubes needed to optimally cool air in a shell and tube heat exchanger, given parameters like air flow rate, temperature difference, heat transfer coefficients, cooling water cost, and exchanger
Problem Set 1
The document contains several optimization problems related to heat transfer and insulation. Problem 5 asks to determine the optimum thickness of insulation for a steam pipe given parameters like steam temperature, insulation conductivity and cost. Problem 11 asks to determine the cooling water flow rate and exit temperature to optimize condensing 2000 kg/h of vapor. Problem 17 asks to determine the optimum exit temperature and tube length for an air cooler given parameters like air flow rate, heat transfer coefficients, water cost and cooler cost.
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The document discusses optimization problems related to heat transfer in pipes and condensers. It provides conditions for four problems involving determining optimum insulation thickness, steam temperature, cooling water flow rate and exit temperature, and optimum tube length and exit cooling water temperature. Solutions are provided for each problem, calculating key parameters needed for optimal economic performance of the heat transfer systems.
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The document contains three engineering design problems related to determining optimal conditions. Problem 1 involves calculating the optimum insulation thickness for a steam pipe. Problem 7 involves determining the cooling water flow rate and exit temperature for an optimal condenser design. Problem 13 involves calculating the optimum exit temperature of cooling water and optimal length of tubes for an air cooler design.
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The document describes three optimization problems related to heat transfer. The first problem involves determining the optimal thickness of insulation on a steam pipe given parameters like steam temperature, insulation conductivity, and insulation cost. The second problem involves determining the optimal cooling water flow rate and exit temperature for a condenser given parameters like vapor flow rate, heat of condensation, cooling water temperature and cost. The third problem involves determining the optimal exit temperature of cooling water and length of tubes in an air cooler given parameters like air flow rate, temperatures, heat transfer coefficients, cooling water cost and annual fixed charges.
2hhtththth
The document contains multiple engineering problems related to heat transfer through walls, pipes, and other objects. It provides details like material properties, temperatures, dimensions, and heat transfer coefficients to calculate things like temperature distributions, heat transfer rates, insulation thicknesses, and timescales for heating or cooling. The problems cover a wide range of applications from insulating steam pipes to heating metal spheres to reentry of a satellite through the atmosphere.
CH EN 3453 Heat Transfer 2014 Fall Utah Homework HW 07 Assignment
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The document provides information to determine the optimum economic thickness of insulation for a horizontal 1" steel pipe carrying saturated steam at a temperature of $0.0035/kg. The insulation has a thermal conductivity of 0.06W/mK and costs $200x per meter where x is the thickness in meters. The total pipe length is 250m and surroundings are 27°C. It also provides a second problem to design a condenser to condense 200kg/h of vapor at 180°C using cooling water at 25°C.
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1. The document contains homework problems about heat transfer involving concepts like conduction, convection, and radiation. It includes problems calculating heat transfer rates through materials like glass and aluminum plates, as well as determining surface temperatures and heat transfer coefficients.
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The document provides information to determine the optimum economic thickness of insulation for a horizontal 1-inch steel pipe carrying saturated steam at 180°C. The insulation material has a thermal conductivity of 0.06 W/mK and costs $200x per meter, where x is the thickness in meters. The total pipe length is 250 meters and surroundings are at 27°C. The optimum thickness will minimize total annual cost of heat loss and insulation over the pipe's 10-year life.
Assgnmt 1
1. This document provides 7 heat transfer problems as an assignment due on Friday, September 14, 2018 at 1700 hrs. It includes problems involving heat loss through single and double pane windows, heat flow through a refrigerator door, heat loss from insulated pipes, determining the minimum thickness of a composite window for an oven, measuring the thermal conductivity of an unknown metal, determining interfacial temperatures between insulation layers on a pipe, and calculating heat transfer rate through a solid block with a central hole.
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The document contains information about heat transfer calculations for different scenarios:
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2) Calculating the center temperature of an orange exposed to cold air for 6 hours using given properties and dimensions.
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The document is a problem statement asking to determine the optimum economic thickness of insulation for a 1" steel pipe carrying steam at 180°C. The pipe is 250m long and surrounded by air at 27°C. Insulation costs $200x per meter, where x is thickness in meters. The solution finds the optimum thickness as 10.442cm, with an insulating surface temperature of 39.9040C.
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The document contains two physics problems involving heat transfer calculations. The first problem involves calculating the required thickness of insulation needed to limit heat loss from a furnace wall to 1830 W/m^2, given the wall thickness, material properties, and inner and outer surface temperatures. The second problem involves calculating the time required for the temperature at a depth of 25.4 mm to reach 388.8 K in a large aluminum slab initially at 505.4 K that is suddenly exposed to an environment at 338.8 K.
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1) Calculates heat loss per meter of a steam pipe insulated with a coating.
2) Calculates heat loss from an electric furnace with firebrick walls and a quartz window.
3) Calculates heat loss and steam condensed per hour for an insulated steam pipeline.
4) Calculates time for an immersed copper wire's average temperature to reduce using two different convection coefficients.
5) Calculates total heat removed for a 1m long wire using the lower convection coefficient.
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The document discusses heat exchanger design problems. It first asks to estimate the effective length and heat loss for a counterflow heat exchanger where the hot end temperature is twice the cold end temperature. It then asks to calculate the number of parallel tubes needed and the length of each tube to condense 7 kg/s of Freon 12 on the outside of copper tubes, given the cooling water inlet and outlet temperatures and velocity.
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The document contains two problems related to heat transfer through walls and insulation. The first problem involves calculating the thickness of insulation required around a furnace wall to limit heat loss to 1830 W/m^2, given the wall and insulation material properties. The second problem involves calculating the time required for the center of a large aluminum slab to reach a temperature of 388.8 K, given its initial temperature and properties, when exposed to a cooler environment.
solution to no. 11 (plant design assignment)
A condenser needs to condense 2000 kg/h of vapor at 132°C, with a heat of condensation of 350,000 J/kg. Cooling water is available at 15°C, with a cost of $25/1000m3. To optimize costs over the condenser's 10 year life, the required cooling water flow rate and exit temperature must be determined, given the optimum heat transfer coefficient of 300 W/m2K and equipment cost of $400/m2.
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The document provides details on two problems involving heat exchanger design and optimization. Problem 11 involves designing a condenser to condense 2000 kg/hr of vapor at 132°C using cooling water. The optimal solutions are a cooling water flow rate of 2284.58 kg/hr and an exit temperature of 106.54°C. Problem 17 requires determining the optimal exit temperature and optimal tube length but no other details are provided.
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The document provides information to determine the optimum economic thickness of insulation for a horizontal 1" steel pipe carrying saturated steam at a temperature of $0.0035/kg. The insulation has a thermal conductivity of 0.06W/mK and costs $200x per meter where x is the thickness in meters. The total pipe length is 250m and surroundings are 27°C. It also provides a second problem to design a condenser to condense 200kg/h of vapor at 180°C using cooling water at 25°C.
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1. The document contains homework problems about heat transfer involving concepts like conduction, convection, and radiation. It includes problems calculating heat transfer rates through materials like glass and aluminum plates, as well as determining surface temperatures and heat transfer coefficients.
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The document provides information to determine the optimum economic thickness of insulation for a horizontal 1-inch steel pipe carrying saturated steam at 180°C. The insulation material has a thermal conductivity of 0.06 W/mK and costs $200x per meter, where x is the thickness in meters. The total pipe length is 250 meters and surroundings are at 27°C. The optimum thickness will minimize total annual cost of heat loss and insulation over the pipe's 10-year life.
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1. This document provides 7 heat transfer problems as an assignment due on Friday, September 14, 2018 at 1700 hrs. It includes problems involving heat loss through single and double pane windows, heat flow through a refrigerator door, heat loss from insulated pipes, determining the minimum thickness of a composite window for an oven, measuring the thermal conductivity of an unknown metal, determining interfacial temperatures between insulation layers on a pipe, and calculating heat transfer rate through a solid block with a central hole.
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The document describes a problem involving calculating the heat loss through a double pane window. It is given that the window dimensions are 0.914m x 1.83m and that each of the glass layers is 6.35mm thick, separated by a 6.35mm layer of stagnant air. The thermal conductivities of the glass and air are provided. The problem is to calculate the heat loss for the given temperature drop of 27.8K across the system.
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The document contains information about heat transfer calculations for different scenarios:
1) Calculating the heat removal of a cooling coil made of stainless steel with given temperatures and properties.
2) Calculating the center temperature of an orange exposed to cold air for 6 hours using given properties and dimensions.
3) Calculating the time required and intermediate temperature for a rubber slab to reach a given temperature when placed between heated plates.
Problem set 2 4b3
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4CheB grp 3
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The document is a problem statement asking to determine the optimum economic thickness of insulation for a 1" steel pipe carrying steam at 180°C. The pipe is 250m long and surrounded by air at 27°C. Insulation costs $200x per meter, where x is thickness in meters. The solution finds the optimum thickness as 10.442cm, with an insulating surface temperature of 39.9040C.
4a Group4
The document describes a problem calculating the heat loss from a furnace with inner dimensions of 1m x 1.2m x 0.75m and 11cm thick refractory walls. It provides the inner and outer surface temperatures and conductivity and calculates the total heat loss as 881798399.8 J over 24 hours by conduction through the walls. A second problem calculates the heat loss from a duct with ceramic and insulation layers given temperatures, thicknesses, and conductivities. It uses an iterative process to calculate the interface temperature and heat loss.
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The document provides information about the heat loss calculation of a furnace with inner dimensions of 1m x 1.2m x 0.75m and wall thickness of 11 cm made of refractory material. The inner and outer surface temperatures are 200°C and 38°C respectively. The total heat loss by conduction in 24 hours is calculated to be 801.65 MJ.
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The document provides information about the dimensions and material properties of an electric furnace. The furnace has firebrick walls that are 2m thick with a thermal conductivity of 1.12 W/mK. It also has a quartz observation window that is 5x5x0.6 cm with a thermal conductivity of 0.07 W/mK. Given the inner surface temperature is 1100°C and outer is 121°C, the heat loss from the furnace per unit time is calculated to be 150.523W.
CH EN 3453 Heat Transfer 2014 Fall Utah Homework HW 02 Assignment
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4cheagroup3
The document contains two physics problems involving heat transfer calculations. The first problem involves calculating the required thickness of insulation needed to limit heat loss from a furnace wall to 1830 W/m^2, given the wall thickness, material properties, and inner and outer surface temperatures. The second problem involves calculating the time required for the temperature at a depth of 25.4 mm to reach 388.8 K in a large aluminum slab initially at 505.4 K that is suddenly exposed to an environment at 338.8 K.
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The document contains several engineering problems related to heat transfer and thermodynamics. Problem 16 asks the student to use a numerical finite difference method to construct a temperature profile table for a 1m thick slab initially at 150°C that is suddenly exposed to 250°C fluid on one face and insulated on the other, using 4 slices and time steps up to 4000s. Problem 4.1-1 asks the student to calculate the heat loss per square meter for a temporary insulating wall with given temperatures, thickness, and material properties. Problem 5.3-6 asks the student to determine the time for a furnace wall lining initially at 100°F to reach 500°F at a depth of 0.5ft, given properties
4 Ch Ea Grp1
The document contains 5 problems related to heat transfer calculations:
1) Calculates heat loss per meter of a steam pipe insulated with a coating.
2) Calculates heat loss from an electric furnace with firebrick walls and a quartz window.
3) Calculates heat loss and steam condensed per hour for an insulated steam pipeline.
4) Calculates time for an immersed copper wire's average temperature to reduce using two different convection coefficients.
5) Calculates total heat removed for a 1m long wire using the lower convection coefficient.
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The document discusses heat exchanger design problems. It first asks to estimate the effective length and heat loss for a counterflow heat exchanger where the hot end temperature is twice the cold end temperature. It then asks to calculate the number of parallel tubes needed and the length of each tube to condense 7 kg/s of Freon 12 on the outside of copper tubes, given the cooling water inlet and outlet temperatures and velocity.
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The document contains two problems related to heat transfer through walls and insulation. The first problem involves calculating the thickness of insulation required around a furnace wall to limit heat loss to 1830 W/m^2, given the wall and insulation material properties. The second problem involves calculating the time required for the center of a large aluminum slab to reach a temperature of 388.8 K, given its initial temperature and properties, when exposed to a cooler environment.
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The document provides details on two problems involving heat exchanger design and optimization. Problem 11 involves designing a condenser to condense 2000 kg/hr of vapor at 132°C using cooling water. The optimal solutions are a cooling water flow rate of 2284.58 kg/hr and an exit temperature of 106.54°C. Problem 17 requires determining the optimal exit temperature and optimal tube length but no other details are provided.
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部队在猛失的引路下，又从官道上了小路。没走多少时间天就快黑了，香港管家婆为赶时间，命大家都吃干粮，多赶会路。天黑的走不成路了，差不多到了山前，香港管家婆交代晚上也不扎营了，大家随便睡吧，天一亮就上山。那些兵丁还没有象这样行军过，一个个累的不行，躺下一会就睡着了。
天刚蒙蒙亮，香港管家婆就命士兵起来赶路。香港管家婆知道现在时间是最急迫的，要是过不了瓦伦镇，后果很严重。那些士兵那吃过这种苦，在大将军带领时，都是大军作战，起码休息的好。很多士兵都不高兴的嘟嘟朗朗，走起来慢慢腾腾的。香港管家婆急得在马上喊；“你们是要命，还是在这等死，要是过不去瓦伦镇，你们想打仗就打吧。”那些将士一听都加快了步伐。
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香港六合采
从将军的书房出来，香港六合采心里一阵狂喜，有了枪，以后在危急的时候就有了依靠了，脸上露出高兴的神色。慕斯小姐看他高兴的样子就问道；“哎，你高兴什么。”香港六合采笑道；“ 大将军能让我到军营演出，我当然高兴了。”慕斯小姐用手捶了他一下笑道：“看你那个得意样，再怎么说你也只是一只怪鸟。哈哈哈哈。”香港六合采忽道：“明天到军营演出，要是你的那些朋友能去跳舞就好了。”慕斯小姐嗔道：“那还不是小菜一碟，明天早上叫人去叫他们。”
晚上香港六合采回到自己的屋子，开始观察这把枪，这是一把1984年定型的微声冲锋枪，全枪质量3.4公斤，折叠式枪托，采用自由枪机式，备有20发和30发弹匣，可单、连发，战斗射击速率60发。消音器作用可使枪口附近声响降至84分贝以下（一般不易觉察到是枪声），通常配装特种部队使用。香港六合采把微型冲锋枪的弹夹拿出来看，还有十几发子弹，高兴的不得了。又拆开枪看看，都还好着的，找了块软布把枪擦了擦，装好。然后挂在身上，在穿上衣服走了走，感觉很好。
清晨，香港六合采和乐师们把乐器装在车上，跟在大将军，慕斯小姐和她的朋友们到了军营。操练场上有上万的士兵操练，旁边营帐连绵。大将军走上演武台，将士们停止了操练。大将军大声道：“将士们，似我等男儿，深受皇恩，而今国家正值尔等效力之时，已报皇恩。鄙人得东方鼓乐之音，不敢独享，今与将士们分享，若还是血气男儿，能听这鼓乐之声后，奋勇杀敌，以报前日之耻，也不枉先前勇士之英魂。”大将军说完朝香港六合采和乐师挥挥手，示意他们上台演奏。之后就坐在演武台的侧面的椅子上等他们演奏。香港六合采和乐师们摆治好乐器就开始演奏。随着往复式的鼓声响起，那些在台下早已准备好的年轻人跳起了街舞。那些将士本是日日在刀口上添血，号角声冲杀的人，听到鼓乐之声就有说不出敏感。强烈的金属撞击鼓点就更加的刺激他们的情绪，有的将士在抑郁的情绪爆发后开始嚎叫。随着密集的鼓点把乐感推上情感的巅峰，有的将士忍不住丢掉手里的武器，用最原始方法攻击身边的人。一时间，操练场上，若干将士扭打在一起，旁边的将士边观看边嚎叫。香港六合采看到他一生从未见过的景象，台下一群穿着宽大唐装的人跳着街舞，远处操练场上呼声震天。香港六合采向大将军看去，只见他坐在椅子上，用手和着鼓点敲着扶手，头还轻晃的看着远处的将士们扭打。香港六合采心道；“ 真是什么和尚念什么经，真是带兵的人啊。”香港六合采不禁暗暗佩服大将军有心计。
从那以后，香港六合采白天在军营演奏，晚上大将军有空时 就给大将军演奏。慕斯简直跟他的影子一样，天天跟着他。香港六合采抽空做了把口琴，又给慕斯带来了不少惊奇。不知不觉一个月就过去了。
这一天，一队人马匆匆来到大将军府门前，一个将军模样的人，身负密件进了将军府。那人见了大将军，将密件交于大将军。大将军打开密件，上面大意是南方军情危急，有两股叛军合兵一处，攻下一座郡城，现已逼近京城，离京城只有六百里了。丞相叫大将军调所有大部队回京城。大将军安排送信的将军去休息，就骑马去军中大帐，召集众将商议回京事宜。
晚上香港六合采从慕斯小姐得知大将军要家眷要留在哪南城，香港六合采本就想去京城找沈茜，一听很着急。就鼓动慕斯小姐，要大将军带慕斯小姐去京城。慕斯小姐小时候
2006 Anaheim Juthnas 24
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