Question

Under what conditions does the general form of the heat conduction equation become a linear partial differential?

Answer #1

The General Heat Conduction equation is given by,

k is the thermal conductivity, T is temperature is Rate of heat generation. is density and is Heat capacity at constant pressure.

Now for a homogenous and isentropic media, there will be no changes in thermal conductivity, This gives,

This here is a linear partial differential equation. Therefore the heat conduction equation becomes a linear partial differential equation when the material is homogenous and isentropic.

Starting with an energy balance (or the heat conduction
equation) 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,t). The
thermal conductivity is constant and there is no heat
generation.

The general form for a linear equation is given as: y =
b1x + b0.b1is the
y-intercept in the equation.
Please choose the correct answer from the following choices, and
then select the submit answer button.
True.
False.

For the human body, what is the rate of heat transfer by
conduction (in kJ/day) through the body's tissue with the following
conditions: the tissue thickness is 2.90 cm, the change in
temperature is 2.04°C, and the skin area is 1.35 m2.
________ kJ/day
How does this compare with the average heat transfer rate to the
body resulting from an energy intake of about 2400 kcal per day?
(No exercise is included.)
Fraction of
(Q/t)conduction and
(Q/t)food intake. _____________

Second-Order Linear Non-homogeneous with Constant Coefficients:
Find the general solution to the following differential equation,
using the Method of Undetermined Coefficients.
y''− 2y' + y = 4x + xe^x

find a homogeneous linear differential equation with constant
coefficients whose general solution is given:
c1e^(x)sin4x+c2e^(x)cos4x

A) When the following equation is balanced properly under acidic
conditions, what are the coefficients of the species shown?
_Fe2++ _PbO2
---> _Fe3++
_Pb2+
Water appears in the balanced equation as a ____ (reactant,
product, neither) with a coefficient of .
Which element is reduced? ___
B) When the following equation is balanced properly under acidic
conditions, what are the coefficients of the species shown?
_Cr2++
_Fe2+--->
_Cr3++ _Fe
Water appears in the balanced equation as a ____ (reactant,
product,...

Using undetermined coefficients, what is the form of yp in the
differential equation y''-3y'+2y = x^2 + xsin(x) - e^x. Do not
solve for yp, just find the general form.

Under what conditions does the supply shift in a AS/AD
diagram?

1. What does a (alpha), the coefficient of linear expansion,
tell us about a substance? Can a (alpha) be negative? Explain what
this means. Can it be zero? Explain.
2. What material has the grater coefficient of linear expansion,
aluminum or brass?
3. In general, what would a negative number for the value of a
(alpha) mean? Name a common substance which exibits this behavior
and under what conditions. (Hint: it is a liquid)

•
What is the general form of an exponential growth model?
•
Are all exponential models linear?
•
What is in the general form for a linear model: ?
•
What is in the exponential model?
•
When is the association negative in an exponential growth
model?
•
What do exponential models predict?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 35 seconds ago

asked 35 seconds ago

asked 3 minutes ago

asked 3 minutes ago

asked 7 minutes ago

asked 7 minutes ago

asked 8 minutes ago

asked 11 minutes ago

asked 11 minutes ago

asked 16 minutes ago

asked 16 minutes ago

asked 18 minutes ago