For the case of a boundary node at an internal corner (as seen in class), derive the finitediffer...
For the case of a boundary node at an internal corner (as seen in class), derive the finitedifference equation under steady-state conditions for the cases of (a) the horizontal boundary is perfectly insulated and the vertical boundary is subjected to convection, and (b) both boundaries are perfectly insulated.
Homework Answers
Add Answer to:
For the case of a boundary node at an internal corner (as seen in class), derive the finitediffer...
Consider the interior nodal configuration of a surface experiencing internal conduction and convection as shown in...
Consider the interior nodal configuration of a surface experiencing internal conduction and convection as shown in Figure 2. We have a finite-difference equation describing this situation (for Δχ Δ 2. Ay m, n Tso, h m-1, n m,n = 0 Derive the finite-difference equation for the following situations: a. The boundary is insulated. Explain how the provided m, n-1 Ax equation could be modified to agree with your result. b. The boundary is subjected to a constant heat flux. Figure...
list the assumptions (if appropriate), provide a sketch (if appropriate) A thin flat plate of length L-120 mm, thicknes...
list the assumptions (if appropriate), provide a sketch
(if appropriate)
A thin flat plate of length L-120 mm, thickness t=4 mm, width W=30 mm, and thermal conductivity k-20 W/m-K is thermally joined to heat sinks at different temperatures, where T(x 0) = To-100°C and T(x = L) Ti-35°C. The top surface of the plate is subjected to uniform heat flux q"-20 kW/m2, and the bottom surface of the plate is subjected to uniform convection with a convection coefficient of h-50...
a) Develop a finite difference equation, based on an energy balance for a node on the upper-left corner of a domain, as in the figure below: Too, h Ti Ay k,q Ax Note that both the top and left surfac...
a) Develop a finite difference equation, based on an energy balance for a node on the upper-left corner of a domain, as in the figure below: Too, h Ti Ay k,q Ax Note that both the top and left surfaces are exposed to an ambient temperature of Too and require a convection boundary condition, and that there is constant heat generation per volume (q) throughout the domain. The control volume surrounding the node, on which the energy balance should be...
Need help with part B (the sketching!) thanks Problem 3: A thin flat plate of length...
Need help with part B (the sketching!) thanks
Problem 3: A thin flat plate of length L-120 mm, thickness t=4 mm, width W=30 mm, and thermal conductivity k=20 W/m-K is thermally joined to heat sinks at different temperatures, where T(x = 0) = To-100 C and T(x = L) = T,-35°C. The top surface of the plate is subjected to uniform heat flux q"-20 kW/m2, and the bottom surface of the plate is subjected to uniform convection with a convection...
12. A liquid flows in a slit in the z-direction down a vertical plane, between 2...
12. A liquid flows in a slit in the z-direction down a vertical plane, between 2 broad parallel plates with distance L under the influence of gravity,g, with the plane parallel to the axis of gravity. Assume a uniform thickness of 2D for the liquid layer in the x-direction, steady state laminar flow, and that the fluid is Newtonian and incompressible. The plate at x=0 is heated to a constant temperature of Tp and all the fluid enters the slit...
1. In class, we examined in detail case "C" of table 3.4 on page 150 of...
1. In class, we examined in detail case "C" of table 3.4 on page 150 of your text. Prove the expressions provided in the table for cases A, B, and D. Specifically, start from the general equation 3.67, and apply at x-L the boundary condition on the second column of Table 3.4 for each of the cases. Then, solve the differential equation and acquire the information on the third and the fourth column. Hint In some cases, you will need...
Value for transmissivity is 185，location is B，flow rate is 20 Question 1: No-flow boundary conditions are implemented by: Question 2: Flow Calculation with no abstraction or rech...
Value for transmissivity is 185，location is B，flow rate is
20
Question 1: No-flow boundary conditions are implemented by: Question 2: Flow Calculation with no abstraction or recharge m2/day m/day Condition 1 flow is Condition 2 flow is Question 3: Recharge or abstraction at a node is calculated by: Question 4: Water Level and Flows for Condition 1 are: Water level at pumping/recharge node Flow accross boundary AB Flow accross boundary CD ..,..) is m3/dayFlow accross boundary BC m/dayFlow accross boundary...
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...
1) 2) 3) PROJECT #1 (2.5 Marks): The heat that is conducted through a body must...
1)
2)
3)
PROJECT #1 (2.5 Marks): The heat that is conducted through a body must frequently be removed by other heat transter processes. For example, the heat generated in an electronic device must be dissipated to the surroundings through convection by means of fins. Consider the one-dimensional aluminum fin (thickness t 3.0 mm, width Z 20 cm, length L) shown in Figure 1, that is exposed to a surrounding fluid at a temperature 1. The conductivity of the aluminum...
Solve equation (15-19) for the temperature distribution in a plane wall if the internal heat generation...
Solve equation (15-19) for the temperature distribution in a plane wall if the internal heat generation per unit volume varies according to y = 4 . The boundary conditions that apply are T=To atx=0 and T=T, at x=L Equation 15-19 15.2 Special Forms of the Differential Energy Equation The applicable forms of the energy equation for some commonly encountered stations follow. In every case the dissipation term is considered negligibly small I. For an incompressible fluid without energy sources and...
Consider the interior nodal configuration of a surface experiencing internal conduction and convection as shown in Figure 2. We have a finite-difference equation describing this situation (for Δχ Δ 2. Ay m, n Tso, h m-1, n m,n = 0 Derive the finite-difference equation for the following situations: a. The boundary is insulated. Explain how the provided m, n-1 Ax equation could be modified to agree with your result. b. The boundary is subjected to a constant heat flux. Figure...
list the assumptions (if appropriate), provide a sketch
(if appropriate)
A thin flat plate of length L-120 mm, thickness t=4 mm, width W=30 mm, and thermal conductivity k-20 W/m-K is thermally joined to heat sinks at different temperatures, where T(x 0) = To-100°C and T(x = L) Ti-35°C. The top surface of the plate is subjected to uniform heat flux q"-20 kW/m2, and the bottom surface of the plate is subjected to uniform convection with a convection coefficient of h-50...
a) Develop a finite difference equation, based on an energy balance for a node on the upper-left corner of a domain, as in the figure below: Too, h Ti Ay k,q Ax Note that both the top and left surfaces are exposed to an ambient temperature of Too and require a convection boundary condition, and that there is constant heat generation per volume (q) throughout the domain. The control volume surrounding the node, on which the energy balance should be...
Need help with part B (the sketching!) thanks
Problem 3: A thin flat plate of length L-120 mm, thickness t=4 mm, width W=30 mm, and thermal conductivity k=20 W/m-K is thermally joined to heat sinks at different temperatures, where T(x = 0) = To-100 C and T(x = L) = T,-35°C. The top surface of the plate is subjected to uniform heat flux q"-20 kW/m2, and the bottom surface of the plate is subjected to uniform convection with a convection...
12. A liquid flows in a slit in the z-direction down a vertical plane, between 2 broad parallel plates with distance L under the influence of gravity,g, with the plane parallel to the axis of gravity. Assume a uniform thickness of 2D for the liquid layer in the x-direction, steady state laminar flow, and that the fluid is Newtonian and incompressible. The plate at x=0 is heated to a constant temperature of Tp and all the fluid enters the slit...
1. In class, we examined in detail case "C" of table 3.4 on page 150 of your text. Prove the expressions provided in the table for cases A, B, and D. Specifically, start from the general equation 3.67, and apply at x-L the boundary condition on the second column of Table 3.4 for each of the cases. Then, solve the differential equation and acquire the information on the third and the fourth column. Hint In some cases, you will need...
Value for transmissivity is 185，location is B，flow rate is
20
Question 1: No-flow boundary conditions are implemented by: Question 2: Flow Calculation with no abstraction or recharge m2/day m/day Condition 1 flow is Condition 2 flow is Question 3: Recharge or abstraction at a node is calculated by: Question 4: Water Level and Flows for Condition 1 are: Water level at pumping/recharge node Flow accross boundary AB Flow accross boundary CD ..,..) is m3/dayFlow accross boundary BC m/dayFlow accross boundary...
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...
1)
2)
3)
PROJECT #1 (2.5 Marks): The heat that is conducted through a body must frequently be removed by other heat transter processes. For example, the heat generated in an electronic device must be dissipated to the surroundings through convection by means of fins. Consider the one-dimensional aluminum fin (thickness t 3.0 mm, width Z 20 cm, length L) shown in Figure 1, that is exposed to a surrounding fluid at a temperature 1. The conductivity of the aluminum...
Solve equation (15-19) for the temperature distribution in a plane wall if the internal heat generation per unit volume varies according to y = 4 . The boundary conditions that apply are T=To atx=0 and T=T, at x=L Equation 15-19 15.2 Special Forms of the Differential Energy Equation The applicable forms of the energy equation for some commonly encountered stations follow. In every case the dissipation term is considered negligibly small I. For an incompressible fluid without energy sources and...
Most questions answered within 3 hours.
-
1- What is the freezing point of pure water (in degrees
Celsius)?
2-
he molar mass...
asked 41 minutes ago -
Determine the direction of the force that will act on the charge
in each of the...
asked 47 minutes ago -
You purchase your daily coffee at the Chemist’s Coffeehouse and
have a choice of two cups:...
asked 3 hours ago -
Which of the following pairs of chemicals could be used to make
a buffer solution?
A.)...
asked 3 hours ago -
Problem 16-51 Sales
Activity Variance (LO 16-3)Odessa, Inc., reports the following
information concerning operations for the...
asked 3 hours ago -
Pictured on the right are thee point charges Q1 = 18.4 μC, Q2 =
-30.6 μC,...
asked 3 hours ago -
A graduate student is conducting research in psychology and
needs to obtain the IQ scores of...
asked 4 hours ago -
R2.84: There are 2 defective products in a production lot of 10.
An inspector randomly selected...
asked 5 hours ago -
Consider the following equilibrium system: COCl2(g) CO(g) +
Cl2(g) A 10.00 L evacuated flask is filled...
asked 6 hours ago -
1) What are the two distinct steps that one needs to perform
when developing a data...
asked 6 hours ago -
2) Write a C++ program that uses a class called “Degree” to
obtain the trigonometric
values...
asked 7 hours ago -
1. In eukaryotic cells the genomes of
&
asked 7 hours ago