Lecture 5: Temperature and Heat Exchange

Question 1

Fick’s Law of Diffusion

Answer 1

D=k*(dC/dx), where k is the diffusion coefficient and dC/dx is the concentration gradient

Question 2

Darcy’s Law of Fluid Movement

Answer 2

J=K*(dH/dx), where K is the hydraulic conductivity, and dH/dx is the hydraulic head

Question 3

Fourier’s Law of Heat Transport

Answer 3

Q=k*(dT/dx), where k is the thermal conductivity and dT/dx is the temperature gradient

This equation relates to the chickadee example

Question 4

Thermal Transfer #1: Radiation

Answer 4

Solar Radiation: Q_s= A_sα I_s

(Infra-Red Radiation-heat) Q_IR= A_IR ε σ T⁴

Q = Energy Flux (W/m²)

A = Area (m²)

α = Absorbtivity of solar radiation

I_s = light intensity

ε = emissivity

σ = Stephan- Boltzman Constant (5.67 x 10^-8 W m^-2 K)

T= Temperature

Question 5

Thermal Transfer # 2: Conduction