Question

The initial temperature distribution across a wall with a thickness of 60 cm is described with...

The initial temperature distribution across a wall with a thickness of 60 cm is described with the following function:

T(x) = -250x+100x2+ 20x3/ 2x

where T is temperature in degrees Celsius and x is the coordinate in meters.

The wall has a thermal conductivity of 2.5 W cm-1 K-1.

(i)        On a unit surface area basis, determine the heat flux into the wall on the left face.

(ii)       On a unit surface area basis, determine the heat flux out of the wall on the right face.     

Engineering   Chemical-Engineering   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A rectangular furnace wall is made of fire clay (Height = 3m, Width = 1.2m, thickness...
A rectangular furnace wall is made of fire clay (Height = 3m, Width = 1.2m, thickness L=0.17m) The temperautre of the inside surface ( area H x W, Tx, is 1592 K,and of the outside surface (area = H x W ), Tc is 1364 K Determine the temperature gradient Determine the heat transfer rate Determine the heat transfer flux Determine thermal resistance
The steady-state temperature distribution inside a solid object is described by the following expression, where x...
The steady-state temperature distribution inside a solid object is described by the following expression, where x is the spatial co-ordinate: T(x) =2x3- 3x2 + x +10 If the thermal conductivity and thickness of the solid are 10 W.m-1.K-1 and 0.8 m respectively, what will be the form of heat flux expression? At what point within the solid does the heat flux reach a maximum (or minimum)?
A flat wall is exposed to an environmental temperature of 38 degrees C. The wall is...
A flat wall is exposed to an environmental temperature of 38 degrees C. The wall is covered with a layer of insulation 2.5 cm thick whose thermal conductivity is 1.8 W/(m.K), and the temperature of the wall on the inside of the insulation is 320 degrees C. The wall loses heat to the environment by convection. Compute the value of the convection heat transfer coefficient that must be maintained on the outer surface of the insulation to ensure that the...
In a warehouse, a cold room that is maintained at 10oC has a wall made of...
In a warehouse, a cold room that is maintained at 10oC has a wall made of two layers of materials. The inner layer has a thickness of 2 cm and a thermal conductivity of 0.1 W/mK. The outer layer, which is 4 cm thick, has a thermal conductivity of 0.04 W/mK. The temperature of the outside ambient is 30oC . The convective heat transfer coefficients on the outside and the inside of the wall are 40 W/m2K and 20 W/m2K...
The wall of an industrial furnace is constructed from a fireclay brick layer which is covered...
The wall of an industrial furnace is constructed from a fireclay brick layer which is covered with another layer of ordinary brick. The outer surface wall temperature has a steady-state temperature of 110 °C when the ambient air has a temperature of 20°C. Heat is lost from the outer surface wall via convection and radiation. The internal furnace wall has a surface temperature of 500 DegreeC. Convection heat transfer coefficient between outer wall and air: 5 W/m2K Stefan-Boltzmann constant σ:...
consider a 0.8 cm thick steel plate with a thermal conductivity of 50W/m-k.When the inside surface...
consider a 0.8 cm thick steel plate with a thermal conductivity of 50W/m-k.When the inside surface of the plate is subjected to a uniform heat flux 0f 5*104 w/m2 the oter surface temperature of the plate is measured to be 110c under steady operating condition a)express the differential equation and the boundary conditions for steady one dimensional heat conduction through the wall b)obtain the relation for the variation of temperature in the plate by solving the differential equation. c)evaluate the...
To determine the effect of the temperature dependence of the thermal conductivity on the temperature distribution...
To determine the effect of the temperature dependence of the thermal conductivity on the temperature distribution in a solid, consider a material for which this dependence may be represented by: k = k0 + a T, where “k0“ is a positive constant and “a” is a coefficient that may be positive or negative. Starting with a steady-state energy balance, derive a relationship for temperature (T) as a function of distance (x) from the lower temperature wall. You may assume that...
Consider an R-134a based freezer operating at -30°C. The surrounding temperature is at 25°C. External size...
Consider an R-134a based freezer operating at -30°C. The surrounding temperature is at 25°C. External size of the freezer is 33.62" wide x 37.37" tall x 20.68" deep. Wall thickness of the freezer is 1" and made of polystyrene (thermal conductivity=.033 W/mK). Thermal conductivity of the wall is the same as polystyrene. For simplicity, you may assume the inner and outer convection coefficients of the freezer are both equal to 10 W/m2/K. The heat removal rate is: q(convection)=186.22 W The...
Consider a large uranium plate of thickness 5 cm and thermal conductivity k = 28 W/m...
Consider a large uranium plate of thickness 5 cm and thermal conductivity k = 28 W/m K in which heat is generated uniformly at a constant rate of q˙ = 6 × 10^5 W/m^3 . One side of the plate is insulated while the other side is subjected to convection in an environment at 30◦C with a heat transfer coefficient of h = 60 W/m2 K. Considering six equally spaced nodes with a nodal spacing of 1 cm, (a) Sketch...
Homework-9 Due: Q) A fuel plate is fabricated from 0.3 cm thick 1.5% enriched uranium. The...
Homework-9 Due: Q) A fuel plate is fabricated from 0.3 cm thick 1.5% enriched uranium. The cladding is 0.25 mm 304 stainless steel. The coolant saturation temperature is 260 oC. The average thermal neutron flux is 2.5 X 1014 neutrons/cm2 /s. The surface temperature of the clad is 350 oC. Assume any missing data to answer the following questions:. 1) Write an expression of the heat generated per unit volume 2 What is the heat flux at the surface of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT