Basics

Question 1

What is the heat diffusion equation?

Answer 1

Grad( k Grad(T) ) + q volumetric generation= density * heat capacity * dT/dt

Question 2

What are the limits totheheatdiffusion equation.

Answer 2

Only for incompressible mediums with convection occurring

Question 3

What is thermal diffusivity, specifically?

Answer 3

alpha= (thermal conductivity)/ (density* heat capacity) = k/pC

Question 4

What is the definition of Biot number?

Answer 4

hL/k where L is the characterisitic length

Question 5

What is the heat conduction equation?

Answer 5

(partial^2 T)/(partial x)^2=(1/alpha)*(partial T)/(partial t)

Question 6

sinh x= ?

Answer 6

(exp(x)-exp(-x))/2

Question 7

cosh x+?

Answer 7

(exp (x)+exp(-x))/2

Question 8

tanh=?

Answer 8

sinh/cosh

Question 9

d(sinh)/dx=?

Answer 9

coshx

Question 10

d(cosh)/dx=?

Answer 10

sinhxu

Question 11

Define Nu

Answer 11

hL/k

Question 12

Define thermal diffusivity

Answer 12

α=k/ρC, C=Cp

Question 13

Define prandtl number

Answer 13

Pr=ν/α

Question 14

Define thermal expansivity

Answer 14

β = 1/T_inf

Question 15

Define Raleigh number

Answer 15

Ra_L=Gr_L*Pr= (gβΔΤ L^3)/αν