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A cross-section of a material is shown below. A heater on the right side provides constant...
heat transfer Consider a long solid rod of constant thermal conductivity k whose cross section is...
heat transfer
Consider a long solid rod of constant thermal conductivity k whose cross section is a sector of a circle of radius ro and the angle a as shown in the figure. A peripheral heat flux 9":falls onto the peripheral surface. The plane surface at - O is kept isothermal at the ambient temperature T.. The other plane surface at = a loses heat by convection to the ambient. The steady temperature distribution is a function of r and...
PT. In the system shown below material A has a conductivity which increases with x, whereas...
PT. In the system shown below material A has a conductivity which increases with x, whereas material B has a constant thermal conductivity and it's cross sectional area decreases with x The left hand side and right hand side temperatures are maintained at 100 °C and 50 °C respectively. Under these conditions, (a) show (draw) qualitatively (without doing any calculations) the temperature variation in both materials as function of x. You may assume that the flow of heat in the...
Please answet the the questions in detail it belong to Heat and Mass transfer Question2 Marks...
Please answet the the questions in detail it belong to
Heat and Mass transfer
Question2 Marks 191 In the context of a finite difference scheme for a material of thermal conductivity k, use an energy balance to derive the nodal equation for an extemal side node (illustrated) which is: heated by an electrical heater (generating surface heat flux q, W/m), .and cooled by convection (of heat transfer Tm+1,n coefficient h, W/m'K) into an ambient of air temperature T mn A...
Two large parallel plates with surface conditions approximating those of a blackbody are maintained at 800°C...
Two large parallel plates with surface conditions approximating those of a blackbody are maintained at 800°C and 100°C, respectively. Determine the rate of heal transfer by radiation between the plates in Wim and the radiative heat transfer coefficient in W/m K ) 12 Write down the one-dimensional sent heal conduction equation for a plane wall with constant thermal conductivity and heat generation in its simplest form, and indicate what each variable represents 13 Write down the one-dimensional transient heat conduction...
2. In the constant volume, stirred-tank heater shown in the figure below, the flow rates and...
2. In the constant volume, stirred-tank heater shown in the figure below, the flow rates and material properties are held constant. The tank contains a heating element, which is initially off and the tank is the same temperature as the inlet stream. When t=0, the heater is turned on to a constant heating rate Q. For this material, assume C = C = Cp = Cy. m,Ti P,V,C, T(t) ń, r(t) o a. Write a transient thermal energy balance to...
3/5 25 pts.J A slab of thickness L, made of material with constant thermal conductivity k,...
3/5 25 pts.J A slab of thickness L, made of material with constant thermal conductivity k, is undergoing a 1-D, steady heat transfer. Its boundary surface at x 0 is insulated while the boundary surface at x= 1 is kept at constant temperature T= oc. Heat energy is generated within the slab at a rate of 2. qx)o cos(rx/2L) is the energy generation rate per unit volume (Wm) at x= 0. where qo a. Develop an expression for the steady-state...
with an array of circular cross-section fins is used to cool a central processing the to...
with an array of circular cross-section fins is used to cool a central processing the to ensure that the temperature of the CPU surface remains at Te-1000. is placed directly on the CPU with a special thermal paste. The associated contact resistance 8. (15 Marks) A heat sink unit (CPU) which dissipates a maximum of 1680 [W] in heat. The heat sink is l-pase T and is square in shape (WcrUry32 mm x 32mm). The temperature 25 C. The circular...
The upper and lower sides of the rectangular aluminum block L-10mm, D 3mm) are insulated as shown below. The left and r...
The upper and lower sides of the rectangular aluminum block L-10mm, D 3mm) are insulated as shown below. The left and right sides have temperature boundary conditions and convective boundary conditions, respectively Surface temperature T 100 C, Outside temperature T-20 C Heat transfer coefficent h 120W/(m2 k) Alumium thermal conductivity K-220 W/(m k), density p-2707kg/m Specific heat C896J/(kg K) Assuming the aluminum block is a two-dimensional shape, calculate the temperature on the plane(x-y) as follows. 1) Calculate the temperature of...
The figure below shows a hollow sphere made of a material with a temperature-dependent conductivity. The...
The figure below shows a hollow sphere made of a material with a temperature-dependent conductivity. The conductivity of the material is given by: k=bT where b = 0.01 W/m-K and T is the temperature in K. TH Tc Tout The sphere is used to contain liquid neon; therefore, the inner surface of the sphere at rin = 2 cm is held at Tc = 30 K. The outer surface of the sphere is exposed to ambient temperature; therefore, the temperature...
A shaft with a diameter of 43 mm, is shown below On the right hand side...
A shaft with a diameter of 43 mm, is shown below On the right
hand side at location D a wheel has a force F of 4824N applied. The
diameter of this wheel is 150 mm. The torque produced by F is
transmitted through the entire shaft to location A where the torque
is reacted. There are no other constraints at location A. Bearings,
are located at B and C, and provide radial constraint. The bearing
at B also provides...
heat transfer
Consider a long solid rod of constant thermal conductivity k whose cross section is a sector of a circle of radius ro and the angle a as shown in the figure. A peripheral heat flux 9":falls onto the peripheral surface. The plane surface at - O is kept isothermal at the ambient temperature T.. The other plane surface at = a loses heat by convection to the ambient. The steady temperature distribution is a function of r and...
PT. In the system shown below material A has a conductivity which increases with x, whereas material B has a constant thermal conductivity and it's cross sectional area decreases with x The left hand side and right hand side temperatures are maintained at 100 °C and 50 °C respectively. Under these conditions, (a) show (draw) qualitatively (without doing any calculations) the temperature variation in both materials as function of x. You may assume that the flow of heat in the...
Please answet the the questions in detail it belong to
Heat and Mass transfer
Question2 Marks 191 In the context of a finite difference scheme for a material of thermal conductivity k, use an energy balance to derive the nodal equation for an extemal side node (illustrated) which is: heated by an electrical heater (generating surface heat flux q, W/m), .and cooled by convection (of heat transfer Tm+1,n coefficient h, W/m'K) into an ambient of air temperature T mn A...
Two large parallel plates with surface conditions approximating those of a blackbody are maintained at 800°C and 100°C, respectively. Determine the rate of heal transfer by radiation between the plates in Wim and the radiative heat transfer coefficient in W/m K ) 12 Write down the one-dimensional sent heal conduction equation for a plane wall with constant thermal conductivity and heat generation in its simplest form, and indicate what each variable represents 13 Write down the one-dimensional transient heat conduction...
2. In the constant volume, stirred-tank heater shown in the figure below, the flow rates and material properties are held constant. The tank contains a heating element, which is initially off and the tank is the same temperature as the inlet stream. When t=0, the heater is turned on to a constant heating rate Q. For this material, assume C = C = Cp = Cy. m,Ti P,V,C, T(t) ń, r(t) o a. Write a transient thermal energy balance to...
3/5 25 pts.J A slab of thickness L, made of material with constant thermal conductivity k, is undergoing a 1-D, steady heat transfer. Its boundary surface at x 0 is insulated while the boundary surface at x= 1 is kept at constant temperature T= oc. Heat energy is generated within the slab at a rate of 2. qx)o cos(rx/2L) is the energy generation rate per unit volume (Wm) at x= 0. where qo a. Develop an expression for the steady-state...
with an array of circular cross-section fins is used to cool a central processing the to ensure that the temperature of the CPU surface remains at Te-1000. is placed directly on the CPU with a special thermal paste. The associated contact resistance 8. (15 Marks) A heat sink unit (CPU) which dissipates a maximum of 1680 [W] in heat. The heat sink is l-pase T and is square in shape (WcrUry32 mm x 32mm). The temperature 25 C. The circular...
The upper and lower sides of the rectangular aluminum block L-10mm, D 3mm) are insulated as shown below. The left and right sides have temperature boundary conditions and convective boundary conditions, respectively Surface temperature T 100 C, Outside temperature T-20 C Heat transfer coefficent h 120W/(m2 k) Alumium thermal conductivity K-220 W/(m k), density p-2707kg/m Specific heat C896J/(kg K) Assuming the aluminum block is a two-dimensional shape, calculate the temperature on the plane(x-y) as follows. 1) Calculate the temperature of...
The figure below shows a hollow sphere made of a material with a temperature-dependent conductivity. The conductivity of the material is given by: k=bT where b = 0.01 W/m-K and T is the temperature in K. TH Tc Tout The sphere is used to contain liquid neon; therefore, the inner surface of the sphere at rin = 2 cm is held at Tc = 30 K. The outer surface of the sphere is exposed to ambient temperature; therefore, the temperature...
A shaft with a diameter of 43 mm, is shown below On the right
hand side at location D a wheel has a force F of 4824N applied. The
diameter of this wheel is 150 mm. The torque produced by F is
transmitted through the entire shaft to location A where the torque
is reacted. There are no other constraints at location A. Bearings,
are located at B and C, and provide radial constraint. The bearing
at B also provides...
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