Teamwork Ch2-Heat conduction equation 1. A pipe in a manufacturing plant is transporting superheated vapor at a mass flow rate of 0.3 kg/s. The pipe is 9 m long, has an inner diameter of 5 cm and pipe wall thickness of 6 mm. The pipe has a thermal conductivity of 17 W/m•K and the inner pipe surface contacted with steam which temperature is 120°C and heat transfer coefficient h = 70 W/m²°C. If the air temperature in the manufacturing plant is 25°C and outer pipe surface temperature is 70°C, determine the one-dimension equation for heat transfer and heat transfer rate of the pipe.

1- A solid infinitely long cylinder, radius 2 cm, has uniform internal heat generation. The temperature distribution in the cylinder is T(r) = = 256 – 8.6 x 104 r² where r is in meters, T in °C and the thermal conductivity of the cylinder material is 16 W/ m °C. Determine: (a) The temperature at the centerline. (b) The surface temperature. (c) The heat flux at the surface. (d) The rate of heat transfer to the surrounding per unit meter of cylinder length.

Problem 4 A cork board (k = 0.039W/m K) 3 cm thick is exposed to air with an average temperature T.. = 30°C with a convection heat transfer coefficient, h = 25 W/m².K. The other surface of the board is held at a constant temperature of 15°C. A volumetric heat generation of 5 W/m³ is occurring inside the wall. Assuming one dimensional conduction, write the governing equation and express the boundary conditions for the wall. (solve the equation is not required) Problom

Write the heat rate equation only, don’t evaluate. Using table 4.1 in “Introduction to Heat transfer, 6th ed., Wiley”

Water vapor at a temperature of 120 ° C flows through a stainless steel pipe (k = 57 W / mK). The inner diameter of the pipe is 47 mm, the outer diameter is 50 mm, and the length is 100 m. The heat transfer coefficient between the water vapor and the pipe wall is 200 W / m²K, and the heat transfer coefficient between the outer surface of the pipe and the ambient air is 25 W / m_K. The outdoor air temperature is 10 ° C. Find the thermal conductivity coefficient of the insulation material, since it is desired to insulate with an insulation material with a layer thickness of 50 mm in order to reduce the loss of heat from the pipe by 60%.

Answer this ASAP The diameter of the tube is 25 mm. The specific heat of water is 4.18 kJ/kg.°C. The overall heat transfer coefficient is 0.7 kW/m².°C. 1. Schematic of temperature distribution 2.ΔTLMTD 3.Actual heat transfer rate 4.Cmin 5.Maximum heat transfer rate

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Problem 6. ART TAT Consider the cylindrical pipe shown in the figure. Heat is being generated in the pipe wall at a rate of R in units of W/m³, and the thermal conductivity of the wall is k, the heat transfer coefficients at the inside and outside of the pipe are h; and ho, respectively. At a given location along the pipe axis, the temperature of the fluid flowing inside of the pipe is Ti and that at the outside is To i. ii. Find the expression for the temperature distribution in the pipe wall. Find the total heat transfer rate from the pipe to both fluids.

I am struggling with this question. Part a and b

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