The temperature of an exotic liquid in a pipe of length L = 2 can be described by the following PDE ᏭᎢ . -u+D. дг ᏭᎢ . dr² ƏT Ət with time t, temperature T, u a constant velocity, and D a constant thermal diffusivity. For a grid of M + 1 equally spaced points along the pipe and Ar the spacing between points, write the equation for the right-hand-side fi of Eq. (2) at mesh point i with second order accurate central finite differences.

The temperature of an exotic liquid in a pipe of length L = 2 can be described by the following PDE ᏭᎢ . -u+D. дг ᏭᎢ . dr² ƏT Ət with time t, temperature T, u a constant velocity, and D a constant thermal diffusivity. For a grid of M + 1 equally spaced points along the pipe and Ar the spacing between points, write the equation for the right-hand-side fi of Eq. (2) at mesh point i with second order accurate central finite differences.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Water X 50-mm inside diameter 25-mm diameter As a consultant at one of the country's leading soft…

A: To find: 1) Volume flow rate of the system 2) The pressure at Point A 3) The pressure at Point B…

Q: Solve the problem correctly in a handwritten format. Strictly chatgpt not allowed Mechanical…

A: Step 1:

Q: The power P required for operating a pump depends on the diameter of the pump D, the pressure rise…

Q: A PVC (k = 0.20 W/m-K) pipe is 2.5 m long and has inner and outer radii of 2.3 cm and 3.3 cm,…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: For the heated plate, a secondary variable is the rate of heat flux (q) across the plate's surface.…

A: To derive the formulas to compute the heat flux for a heated plate, we will consider the Fourier law…

Q: Solve the following equation for x: erfc(x) = 0.125 Your Answer: 1.085

A: The complementary error function,

Q: Unit: BTU HL = Heat loss (BTU)= Hv x hours If loss for one day, H = 24 hrs If we are talking about a…

A: Heat loss (HL) per day through a single building element = AreaArea (A)Resistance (R)×∆T×24 hours…

Q: 1.40 Over a limited temperature range, the relation between electrical resistance R and temperature…

A: Given: The resistance corresponding to temperature T=0°C is R0=51.39 Ω. The resistance…

Q: This question is over numerical methods using the following three methods shown in the problem to…

A: To solve the given ordinary differential equation (ODE) numerically using Python, you can apply…

Q: One can change the system energy by work (W) and by heat transfer (Q). In a closed system, this is…

Q: Figure.2 shows the heat transfer rate per unit width (normal to the page) from a longitudinal…

Q: a=2, b=1 A bullet is to be tested in the laboratory to determine the drag force on it. Dependent…

A: In this problem, we have the following six variables n=6. Now, the dimension of different parameters…

Q: 1.1 s) The overall size of the system (i.e. the shell) is 5.8 inch ID and a 27-inch long tube…

Q: I need help on this question: Q. As a means of measuring the viscosity, a liquid is forced to flow…

A: a) To derive: The expression for the shear stress acting on the top plate. Given: The fluid…

Q: Determine whether the following equations are dimensionally homogeneous. 2ph3 mh + 3t2 f : || f is a…

A: Given equation is f=2ph3l+mh3t2 Here, f is the force, h and l is the velocity, m is a mass, t is a…

Q: 3. Andrade's equation is a proposed model of the effect of temperature on viscosity written as, H =…

Q: Find the value of the constant in the first equation above, and its units. If, at another spot in…

Q: The data given in the accompanying table represents the velocity distribution inside a pipe. Find…

A: given data;radial distance in (m)fluid velocity…

Q: a · x + b What is the dimension of the bi-linear form, when [a] = M²L'T-1, [b] = MªL'T-1, and [c] a…

Q: An engineer would like to create a formula to determine the force exerted by a river flow on a…

Q: Units and dimensions are important in any engineering analysis. This problem is about that. In an…

Q: The differential change in pressure p close to the surface of a static fluid is given by the…

Question

The temperature of an exotic liquid in a pipe of length L = 2 can be described by the following PDE
Ꭷ2Ꭲ .
ər²
ƏT
Ət
ƏT
?х
+ D
(2)
with time t, temperature T, u a constant velocity, and D a constant thermal diffusivity. For a grid of M+ 1 equally
spaced points along the pipe and Ar the spacing between points, write the equation for the right-hand-side fi of
Eq. (2) at mesh point with second order accurate central finite differences.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

2. Solve the differential equation by separation of variables: V 1779
hi please solve this question qucikly , i will rate if solved quickly
Can you do the calculations to get the values in red in the table?
Need help with the calculations i keep getting lost in the conversions
Please do this caredully.
only first attempt please
Thermal conductivity k is a measure of the ability of a material to conduct heat. For conduction heat transfer in the x-direction through a surface normal to the x-direction, Fourier’s law of heat conduction is expressed as: Q=-kA.dT/dx where ?̇ is the rate of heat transfer and A is the area normal to the direction of heat transfer. Determine the primary dimensions of thermal conductivity (k). Look up a value of k and verify that its SI units are consistent with your result. Write a set of primary SI units for k.
**Problem 1.15 Suppose you wanted to describe an unstable particle, that spon- taneously disintegrates with a "lifetime" t. In that case the total probability of finding the particle somewhere should not be constant, but should decrease at (say) an exponential rate: too P(t) = | V(x,1)1²dx = e=1/*. -0- A crude way of achieving this result is as follows. In Equation 1.24 we tacitly assumed that V (the potential energy) is real. That is certainly reasonable, but it leads to the "conservation of probability" enshrined in Equation 1.27. What if we assign to V an imaginary part: V = Vo – ir, where Vo is the true potential energy and r is a positive real constant? (a) Show that (in place of Equation 1.27) we now get dP 21 = --P. dt (b) Solve for P(1), and find the lifetime of the particle in terms of r.
Please do this carefully.
solve both, show all steps and solutions
Give True or False for the following: 1.In liquids and gases, heat transmission is caused by conduction and convection 2.The surface geometry is the important factor in convection heat transfer 3. The heat transfer by conduction from heated surface to the adjacent layer of fluid, 4. The heat transfer is increased in the fin when &> 1 5.The unit of the thermal diffusivity is m²/s 6. Temperature change between the materials interfaces is attributed to the thermal contact resistance 7. A material that has a low heat capacity will have a large thermal diffusivity. 8. Heat conduction flowing from one side to other depends directly on thickness 9.Fin efficiency is the ratio of the fin heat dissipation with that of no fin 10.The critical radius is represented the ratio of the convicted heat transfer to the thermal conductivity
One mole of a gas obeys the Ideal Gas Law PV = 20T, where P is pressure, V is volume, and T is temperature. If the temperature T of the gas is increasing at the rate of 5 °C/s and if, when the temperature is 80 °C, the pressure P is 10N/m? and is decreasing at the rate of 2- find the m2 . s rate of change of the volume V with respect to time.