The ratio of heat flow through walls A and B (Q/Q, having the same thickness having thermal conductivity k = 4k, for the temperature difference (A7), = 2(AT) will be
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- Show that the rate of heat conduction per unit length through a long, hollow cylinder of inner radius ri and outer radius ro, made of a material whose thermal conductivity varies linearly with temperature, is given by qkL=TiTo(rori)/kmA where Ti = temperature at the inner surface To = temperature at the outer surface A=2(rori)/ln(ro/ri)km=ko[1+k(Ti+To)/2]L=lenthofcyclinder1.10 A heat flux meter at the outer (cold) wall of a concrete building indicates that the heat loss through a wall of 10-cm thickness is . If a thermocouple at the inner surface of the wall indicates a temperature of 22°C while another at the outer surface shows 6°C, calculate the thermal conductivity of the concrete and compare your result with the value in Appendix 2, Table 11.spherical shaped vessel of 14 m outer diameter is 90 mm thick Find the rate of heat leakage, if the temperature difference between the inner and outer surfaces is 220°C Thermal conductivity of the material of the sphere is 0.083 W/mK
- 350 pipes are fixed as square in a pipe bundle used for condenser. PipeThe outer diameters are 8 mm and the steam at 0.2 bar is desired to be condensed on the pipes. pipe outer The surface temperature is kept constant at 30 °C. If the length of the pipes is 1.5 m, the heat transferred in the systemCalculate the amount of energy and the amount of condensed steamFind the minimum amount of diameter for the insulation of a spherical water tank? Radius of the tank is 10 m, thermal conductivity is 25 W/(m^2*K) and convective coefficient is 5 W/(m*K)A 2 cm thick steel pipe (thermal conductivity 43 W/[m °C]) with 6 cm inside diameter is being used to convey steam from a boiler to process equipment for a distance of 40 m. The inside pipe surface temperature is 115°C, and the outside pipe surface temperature is 90°C. If there is 600kW of heat loss, what is the thickness of the pipe?
- A spherical shaped vessel of 1.4 m diameter is 90 mm thick. Find the rate of heat leakage, if the temperature difference between the inner and outer surfaces is 220oC. Thermal conductivity of the material of the sphere is 0.083 W/m-K.A 6 kg/s of hot liquid flow continuously without leaking in a 40 mm inside diameter with thickness of 7 mm pipe with temperature of 50℃. Thermal conductivity of pipe is 10W/(m℃) and surface conductance of liquid is 9W/(m^2℃). The outer fluid has temperature of 25℃ and surface conductance of 6W/(m^2℃). Cp of hot liquid = 4.2KJ/(Kg℃). Find the minimum length of pipe in meters just to cool down the hot liquid as much as possible if the maximum heat transfer is the constant heat transfer throughout the pipe.Water at 100°C flows in a aluminum pipe with a distance 10m (0.1m insidediameter, 0.02m thick, k= 208 W/m°C). What is the heat transfer through the pipe when inside temperature is 100 °C and outside is 25 °C?
- Find the (1) heat flow rate in Watts (W) and (2) interface temperatures through the composite wall as shown in the figure. The exposed surface of wall A has a temperature of 400°C while that of wall D is 60°C. Assume one dimensional flow and take KA=150 W/m-°C, KB= 30W/m-°C, KC= 65W/m-°C, KD= 50W/m-°C. Also take Xa=3cm, xb= xc=8cm and xd= 5cm.A cylindrical reactor made of copper with a radius of a= r=5mm has a heat conduction coefficient of k=386 W/moC, and there is heat generation at e ̇= (q ) ̇= 4x10^8 W/m3 inside this reactor. The cylindrical reactor convection heat transfer coefficient is h=2000 W/m0C and 〖T_(ambient= ) T〗_∞= 30 oC by convection, it cools down from the reactor surface to the center. According to the given boundary conditions a)Find the reactor surface temperature and the temperature T(a) at r=a. (VARIABLES: r=1-10mm, T_∞= 0-100oC) b) q(a) =((q ) ̇ * a )/ 2 = (e ̇ * a )/ 2 then find the heat flux amount in kW/m2Water at an average temperature of 23 deg C flows through a 10-cm diameter pipe that is 2.5 m long. The pipe wall is heated by steam and is held at 100 deg C. The convective heat transfer coefficient is 2.25 x 10^4 W/m^2K. Find the heat flow in W.