Question: Derive the transient, two-dimensional finite-difference equation for the temperature at nodal point 0 located on the boundary between two different materials. Material A Ay kA.

Derive the transient, two-dimensional finite-difference equation for the temperature at nodal point 0 located on the boundary between two different materials.

Material A Ay kA. PAI CA Ax=Ay Material B kg. PB, CB 4. 3.

Step by Step Solution

★★★★★

3.49 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

KNOWN Nodal point located at boundary between two materials A and B FIND Twodimensional explicit tra... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

8-E-M-E-H-M-T (459).docx

120 KBs Word File

Students Have Also Explored These Related Mechanical Engineering Questions!

Consider the nodal point 0 located on the boundary between materials of thermal conductivity kA and kB. Derive the finite-difference equation, assuming no internal generation. Material A Ay kA Ax=Ay...

Derive an expression for the equation of a boundary node subjected to a constant heat flux from the environment. Use the nomenclature of Figure 3-7. Figure 3-7 Nomenclature for nodal equation with...

Two point charges are located on a coordinate system as follows: Q1 = 4.5C at x = 1.00 cm and y = 1.00 cm and Q2 = 6.0C at x = 3.00 cm and y = 1.00 cm. (a) What is the electric field at point P...

A thin circular disk is subjected to induction heating from a coil the effect of which is to provide a uniform heat generation within a ring section as shown. Convection occurs at the upper surface,...

How to solve A longitudinal fin with a square cross section has a cooling through channel 1 2 0 m m 6 0 m m . The fin has thermal conductivity k = ( A ) W m K , length L = 1 6 0 m m and width w = 8 0...

Figure Q5 shows a rectangular slab of 12 cm length and 4 cm high with the thermal conductivity of 10 W/m K. The top side of the slab is surrounding by a fluid at the temperature of T 600 K. The...

need urgent, as fast as possible A process that involves two electrically heated tanks in series is shown in the diagram below. The inlet temperature to the first tank To varies with time while the...

pleas solve it useing matlab or ess Consider a two-dimensional heat conduction in a square cross section (4cm4cm,k=40W/mC, =6.694106m2/s ) as shown in the figure. The entire block is initially at...

4. One of the strengths of numerical methods is their ability to handle complex boundary conditions. In the sketch, the boundary condition changes from specified heat flux qs" (into the domain) to...

Problem 2 (70 points total) Consider a tank with a shape of a cone standing on its base. The height (H) of the tank is 1 m and the radius of the base (R) is 50 cm. The tank is filled initially with...

Consider the IS-LM-BP model of an open economy with a constant price level, perfect asset substitutability, and perfect capital mobility. The economy is initially in both internal and external...

Imperial Corp. produces whirlpool tubs. Currently the company uses internally manufactured pumps to power water jets. Imperial Corp. has found that 40 percent of the pumps have failed within their...

This are many different acceptable definitions of the term "Financial Planning." Question 2 1 options: TrueFalse

The following figure depicts an oxygen saturation curve of two mutant hemoglobins: hemoglobin A and hemoglobin B. The Y-axis symbolizes saturation, the first dashed line on the left symbolizes the...

On January 1, 2006, Solitaire Company leased equipment for 7 years. The lease required annual payment of $25,000 each for the first 4 years and an annual payment of $15,000 each for the remaining...

1). Trifles Ltd acquired 280,000 shares in Bamburg Ltd on 01 July 2019 and as a result Trifles Ltd has a control of 80% in Bamburg. The purchased consideration transferred by Trifles Ltd in exchange...

Consider the following market game: An incumbent firm, called firm 3, is already in an industry. Two potential entrants, called firms 1 and 2, can each enter the industry by paying the entry cost of...

Create a java program. Lake Finder: You have been hired to develop software for the DNR to track species of fish in the local lakes. By the final deadline you are to complete a prototype that does...

Consider the n-hexane (1) + ethanol (2) system at 1 bar. Using Raoults Law, predict the system temperature and vapor-phase composition for this mixture and provide a Txy plot for this mixture....

The maximum band interface pressure on the brake shown in the figure is 90 psi. Use a 14-indiameter drum, a band width of 4 in, a coefficient of friction of 0.25, and an angle-of-wrap of 270. Find...

The drum for the band brake in Prob. 1611 is 300 mm in diameter. The band selected has a mean coefficient of friction of 0.28 and a width of 80 mm. It can safely support a tension of 7.6 kN. If the...

The brake shown in the figure has a coefficient of friction of 0.30 and is to operate using a maximum force F of 400 N. If the band width is 50 mm, find the band tensions and the braking torque

Let X equal the verbal score on the Graduate Record Examinations (GRE). Assume that the distribution of X is approximately N(, ). Suppose it is known that = 150. A philosophy professor claims that...

11. Nonannual compounding period Aa Aa E The number of compounding periods in one year is called compounding frequency. The compounding frequency affects both the present and future values of cash...

Height X 11 Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below. The correlation coefficient is 0.873 and the least squares regression line is...