A pipe is used to transport refrigerant R-134a with an inner radius of 0.03m, outer radius of 5 cm, and thermal conductivity of k=2.5 W/m-K. The inner and outer surfaces of the pipe are maintained at an average temperature of 20°C and 40°C, respectively.   Obtain a general relation for the temperature distribution inside the pipe under steady conditions.   Determine the rate of heat gain per unit length by the refrigerant through the pipe.

Q: 1. A stainless steel cylindrical shaft of 25-cm-diameter comes out of an oven at a uniform…

A: GivenD=0.25mTi =800°CT∞=150°Ch=80W/m2

Q: For a metal plate (k = 50 W/m°C and a = 0.000030 m^2 / s) that is at a uniform initial temperature…

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Q: You are trying to assess the performance of a heat sink with fins. It has straight rectangular…

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Q: Steam flows at a temperature of 550C through a pipe (k-80w / mK) with inner and outer diameters of 5…

A: Given: The temperature of the steam is, T1=550°C. The ambient temperature is, T2=15°C The inner…

Q: A cylindrical rod of stainless steel is insulated on its exterior surface except for the ends. The…

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Q: 2. Compare the heat loss from insulated and uninsulated copper pipe (k-400 W/m K) under the…

A: Given:The thermal conductivity of the copper is The pipe internal diameter isThe pipe outside…

Q: A long, 150-mm-diameter cylindrical metal (k = 20 W/m-K, p = 7900 kg/m³, cp = 650 J/kg-K) billet is…

A: The diameter is The thermal conductivity is The density is The specific heat capacity is The initial…

Q: A perfectly insulated aluminium bar (k = 297 W/m K) of diameter 20 cm and length 0.1 m connects a…

A: Thermal conductivity of aluminium bar, k=297 W/m.K Diameter of the bar, d=20 cm = 0.2 m Length of…

Q: A 30 mm diameter aluminium pipe is used to carry hot water, the external surface of the pipe is…

A: Given that, Diameter of Al pipe = d = 30 mm Convective heat transfer coefficient = h = 8 W/m2K…

Q: Consider a steam pipe of length L = 20 m, inner radius r₁ = 6 cm, outer radius r₂ = 12 cm, and…

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Q: A cylindrical fin of Aluminium (k = 200 W/mK) is subjected to a condition where : mL =2.2; h = 200…

A: Introduction Fins…

Q: Rock has often been suggested as a medium for the thermal storage of energy. A cylindrical piece of…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Determine the heat energy transfer rate and thickness of the wall, if energy loss is 10139 kJ in 9…

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Q: Consider the base plate of a 1200-W household iron that has a thickness of L = 0.5 cm, base area of…

A: Given: Q = 1200 W L = 0.5 cm A = 300 cm2 k = 15 W/mK

Q: Steam at 230°C is flowing through a steel pipe (k = 15.1 W/m-K) whose inner and outer diameters are…

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Q: Consider a 1.2 m*2 m glass window of 6 mm thick having k=0.75 W/mK, which is exposed to environment…

A: The sloution is given in next step

Q: Provide solution for delta xins . Please explain.

A: Heat transfer due to conduction:- In conduction heat is transferred due to collision of neighbouring…

Q: A liquid food is being pumped in a 1 cm thick steel pipe. The inside diameter of the pipe is 5 cm.…

A: “Since you have posted a question with multiple subparts, we will solve first three sub parts for…

Q: Warm air is blown over the inner surface of the windshield of an automobile to defrost ice…

A:

Q: A long 50-cm diameter cylindrical shaft (k = 15 W/m·K, p= 7900 kg/m², C, = 477 J/kg-K) comes out of…

A: Given: The diameter of the cylinder, d = 50 cm = 0.5 m The thermal conductivity of the shaft, k = 15…

Q: A copper rod of thermal conductivity 360 / mK, diameter 10 cm and length 40 cm acts as a stiffener…

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Q: A long homogeneous resistance wire of radius r0 = 2 cm, and thermal conductivity k = 25 W/m°C is…

A: Generalised equation in case of cylinder for 1 dimension:1r∂∂r(r∂T∂r)+qk=0∂∂r(r∂T∂r)=-qrkIntegrating…

Q: A steam-carrying steel-pipe has inner and outer diameter of 85 mm and 110 mm, respectively. It is…

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Q: 8. Consider a 0.8-m-hight and 1.5-m-wide glass window with a thickness of 8 mm and a thermal…

A: Given data: h1=10 W/m2h2=40 W/m2k=0.78 W/m°Cw=1.5 mh =0.8 m Need to determine the steady rate of…

Q: Consider a large plane wall of thickness L = 0.2 m, thermal conductivity k = 1.2 W/mK, and surface…

A: Given: L=0.2 mk=1.2 W/mKA=15 m2heat generation qg=500 W/m3at x=0, T=60oCTa=20oCh=200 W/m2K To find:…

Q: A cylindrical copper rod of length 0.400 m and cross-sectional area 5.20 cm? is insulated to prevent…

A: Given data: The length of cylinder rod is l=0.4 m The area of the cross section is A=5.20…

Q: In a thermal power plant, a horizontal copper pipe of "D" diameter, "L" length and thickness 1.7 cm…

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Q: spherical container is made of plastic (k=2 W/mK, ρ=5000 kg/m) and has inner and outer radii of 10…

A: Given DataRi=10cmRo=11cmk=2 W/mKρ=5000 kg/mc=3000 J/kgK ρ=800 kg/m3h=5 W/m2K

Q: A sphere ( k=204 W/m K) with inner diameter 4 cm and outer diameter of 8 cm. The inside temperature…

A: K=Thermal Conductivity=204 W/m-KT1=Inside Temperature=100°C=273.15+100=373.15 KT2=Outer…

Q: A long 20 cm diameter shaft made of stainless steel 304 comes out of an oven at a uniform…

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Q: Consider a large plane wall of thickness 2L=20mm. Both surfaces of the wall are convectively cooled…

A: we can get a solution by using a space increment of ∆x=2mm. The nodal network will yield 6 unknown…

Q: Oil whose temperature is 30°C is flowed through a pipe with a diameter of 50 cm.  The pipe is in an…

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Q: consider a large plane wall of thickness 0.21 m, thermal conductivity k=1.2 w/m-c and surface area…

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Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.