FREE Trial

Starting with an energy balance on the volume element, obtain the steady three-dimensional finite difference equation for a general interior

Question:

Starting with an energy balance on the volume element, obtain the steady three-dimensional finite difference equation for a general interior node in rectangular coordinates for T(x, y, z) for the case of constant thermal conductivity and uniform heat generation.

This problem has been solved!


Do you need an answer to a question different from the above? Ask your question!

Step by Step Answer:

Answer rating: 100% (QA)

To obtain the steady three dimensional finite difference equation for temperature T x y z at a gener…View the full answer


answer-question
Answered By
tutor-profile-image
Collins Njuguna
I graduated from Maseno University with a Bachelor of Science in Applied Statistics. After graduation, I started tutoring students in mathematics. My experience in mathematics education is extensive and varied. I have taught a wide range of topics, including algebra, geometry, trigonometry, calculus, statistics, probability, and computer science. I have also worked with students of all ages and backgrounds, from elementary school to college. My teaching method is based on the idea of hands-on learning. I believe that students learn best when they are actively engaged in the learning process, so I focus on giving students the tools they need to explore the material on their own. I also emphasize the importance of practice and review, as these are essential for mastering math concepts. I have also developed several online and in-person courses on mathematics. My courses are designed to help students learn mathematics in an efficient and comprehensive way, and I use a variety of activities and exercises to ensure that my students are engaged and motivated. Overall, my passion for mathematics and teaching has allowed me to be a successful tutor and educator in the field. I am confident that my experience will help your students master the mathematics they need to succeed.
0.00 0 Reviews 10+ Question Solved
Related Book For  answer-question
Heat And Mass Transfer Fundamentals And Applications

Heat And Mass Transfer Fundamentals And Applications

ISBN: 9780073398181

5th Edition

Authors: Yunus Cengel, Afshin Ghajar

See More Books
Question Details
Chapter # 5- NUMERICAL METHODS IN HEAT CONDUCTION
Section: Problems
Problem: 131
View Solution
Create a free account to access the answer
Cannot find your solution?
Post a FREE question now and get an answer within minutes. * Average response time.
Question Posted: September 16, 2023 06:48:38
See More Questions

Students also viewed these Engineering questions

Q:
Starting with an energy balance on the volume element, obtain the two-dimensional transient explicit finite difference equation for a general interior node in rectangular coordinates for T(x, y, t)...
A:
To derive the two dimensional transient explicit finite difference equation for temperature T x y t......
Q:
Starting with an energy balance on the volume element, obtain the three-dimensional transient explicit finite difference equation for a general interior node in rectangular coordinates for T(x, y, z,...
A:
To obtain the three dimensional transient explicit finite difference equation for temperature T x y z t at a general interior node in rectangular coor......
Q:
Starting with an energy balance on a volume element, obtain the two-dimensional transient implicit finite difference equation for a general interior node in rectangular coordinates for T(x, y, t) for...
A:
Click to View...
Q:
Write a check (Figure 4 - 42) dated June 13, 20XX, to Byron Johnson in the amount of $296.83 for a washing machine, Complete the check stub. Figure 4 - 42 456 456 Amount To For KRA, INC 2596 Jason...
A:
456 Amount 296 83 To Byron Johnson For washing machine Balance Forward Deposits Total......
Q:
A company purchases 2,000 shares of treasury stock for $5 per share. Required: How will this transaction affect stockholders' equity?
A:
Given data Treasury stock 2000 Per share value 5 To find Affects of stockholder s equity By the......
Q:
Geographic Expeditions, Inc. (GeoEx), which guided climbs up Mount Kilimanjaro, required climbers to sign a release to participate in an expedition. The form mandated the arbitration of any dispute...
A:
In this case the agreement that restricted the buyers options for resolution of a dispute to arbitra......
Q:
Gulliver Travel Agencies thinks interest rates in Europe are low. The firm borrows euros at 9 percent for one year. During this time period the dollar falls 12 percent against the euro. What is the...
A:
9 Interest 12 De......
Q:
The following general ledger accounts are included in the trial balance for an audit client, Jones Wholesale Stationery Store. Accounts payable Insurance expense Accounts receivable Interest expense...
A:
a b The general ledger accounts are not likely to differ much between a retail and a wholesale compa......
Q:
Q.2.2 You have been provided with the following summary of cashbook receipts and cashbook payments for December 2022 before any adjustments have been made: SUMMARY OF CASH BOOK RECEIPTS FOR DECEMBER...
A:
Q 2 2 1 To calculate the corrected cashbook receipts and cashbook payments totals we need to consider the adjustments required based on the additional......
Q:
Consider one-dimensional transient heat conduction in a plane wall with variable heat generation and variable thermal conductivity. The nodal network of the medium consists of nodes 0, 1, and 2 with...
A:
To obtain the explicit finite difference formulation for the one dimensional transient heat conduction problem in a plane wall with variable heat gene......
Q:
What is a practical way of checking if the discretization error has been significant in calculations?
A:
Checking for significant discretization error in calculations is important especially in numerical simulations and scientific computing Discretization error arises from approximating continuous mathem......
Q:
Researcher Zoran Popovic' has developed a video game called Mozak (Serbo-Croatian for brain) for the Allen Institute for Brain Science that enlists players research participants, actuallyto trace...
A:
a Nonprobability sampling is a type of sampling method that does not involve randomly selecting individuals from a population in order to obtain a rep......
Q:
Mr and Mrs Seymour were married on 1 December 20x6. The happy couple returned from their honeymoon two weeks later. Their joint bank statement arrived in the post the next day. Mrs Seymour was...
A:
Reconciliation of R110 Payment to Mrs Seymour s Prior Bank Account R648 According to Mrs Seymour s c......
Q:
This trial balance and additional information were taken from the books of Ulandi Traders as at 28 February 20x1: Transactions for March (assume VAT is 14%): 1 Received and deposited B. Cilliers...
A:
Record the above transactions in the general journal Let s record the transactions in the general jo......
Q:
A business sells inventory for R3 000 (which shows a discount of 10% on normal selling price). You are required to: 1. Calculate the normal selling price. 2. Calculate the cost of inventory sold,...
A:
Calculate the normal selling price The selling price after a 10 discount is R3 000 Let s denote the......
Q:
Here are some of the balances from Luminary Traders on 1 February 20x3. All inventory is marked up by 50% on cost. The perpetual inventory system is used. Transactions for February 20x3: 4 Sold...
A:
Cash Receipts Journal Date Account Debited Folio Amount Dr Account Credited Folio Amount Cr 02 01 P......
Q:
Explain the purpose of accounting in the business environment.
A:
Accounting plays a crucial role in the business environment by providing a structured framework for recording analyzing and communicating financial information about a company s activities Its primary......
Q:
A uniform rectangular plate, 40 cm long and 30 cm deep into the paper, hangs in air from a hinge at its top, 30-cm side. It is struck in its center by a horizontal 3-cmdiameter jet of water moving at...
A:
The plate orientation can be......
Q:
Explain the differences and similarities between fringe benefits and salary as forms of compensation.
A:
A fringe benefit is a non cash form of compensation In contrast salary is cash compensation They ar......
Foundations Of Financial Management 17th Edition - ISBN: 126001391X - Free Book