Values of Auxiliary Constants

This section contains the standard values that are used for calculations in SWHS.

Symbol	Description	Value	Unit
${{A_{\text{C}}}^{\text{max}}}$	maximum surface area of coil	$100000$	${\text{m}^{2}}$
${\mathit{AR}_{\text{max}}}$	maximum aspect ratio	$100$	–
${\mathit{AR}_{\text{min}}}$	minimum aspect ratio	$0.01$	–
${C_{\text{tol}}}$	relative tolerance for conservation of energy	$0.001\%$	–
${{C_{\text{W}}}^{\text{max}}}$	maximum specific heat capacity of water	$4210$	$\frac{\text{J}}{\text{kg}{}^{\circ}\text{C}}$
${{C_{\text{W}}}^{\text{min}}}$	minimum specific heat capacity of water	$4170$	$\frac{\text{J}}{\text{kg}{}^{\circ}\text{C}}$
${{{C_{\text{P}}}^{\text{L}}}_{\text{max}}}$	maximum specific heat capacity of PCM as a liquid	$5000$	$\frac{\text{J}}{\text{kg}{}^{\circ}\text{C}}$
${{{C_{\text{P}}}^{\text{L}}}_{\text{min}}}$	minimum specific heat capacity of PCM as a liquid	$100$	$\frac{\text{J}}{\text{kg}{}^{\circ}\text{C}}$
${{{C_{\text{P}}}^{\text{S}}}_{\text{max}}}$	maximum specific heat capacity of PCM as a solid	$4000$	$\frac{\text{J}}{\text{kg}{}^{\circ}\text{C}}$
${{{C_{\text{P}}}^{\text{S}}}_{\text{min}}}$	minimum specific heat capacity of PCM as a solid	$100$	$\frac{\text{J}}{\text{kg}{}^{\circ}\text{C}}$
${{H_{\text{f}}}_{\text{max}}}$	maximum specific latent heat of fusion	$1000000$	$\frac{\text{J}}{\text{kg}{}^{\circ}\text{C}}$
${{H_{\text{f}}}_{\text{min}}}$	minimum specific latent heat of fusion	$0$	$\frac{\text{J}}{\text{kg}{}^{\circ}\text{C}}$
${{h_{\text{C}}}^{\text{max}}}$	maximum convective heat transfer coefficient between coil and water	$10000$	$\frac{\text{W}}{\text{m}^{2}{}^{\circ}\text{C}}$
${{h_{\text{C}}}^{\text{min}}}$	minimum convective heat transfer coefficient between coil and water	$10$	$\frac{\text{W}}{\text{m}^{2}{}^{\circ}\text{C}}$
${{h_{\text{P}}}^{\text{max}}}$	maximum convective heat transfer coefficient between PCM and water	$10000$	$\frac{\text{W}}{\text{m}^{2}{}^{\circ}\text{C}}$
${{h_{\text{P}}}^{\text{min}}}$	minimum convective heat transfer coefficient between PCM and water	$10$	$\frac{\text{W}}{\text{m}^{2}{}^{\circ}\text{C}}$
${L_{\text{max}}}$	maximum length of tank	$50$	${\text{m}}$
${L_{\text{min}}}$	minimum length of tank	$0.1$	${\text{m}}$
$\mathit{MINFRACT}$	minimum fraction of the tank volume taken up by the PCM	$1.0\cdot{}10^{-6}$	–
${{t_{\text{final}}}^{\text{max}}}$	maximum final time	$86400$	${\text{s}}$
${{ρ_{\text{P}}}^{\text{max}}}$	maximum density of PCM	$20000$	$\frac{\text{kg}}{\text{m}^{3}}$
${{ρ_{\text{P}}}^{\text{min}}}$	minimum density of PCM	$500$	$\frac{\text{kg}}{\text{m}^{3}}$
${{ρ_{\text{W}}}^{\text{max}}}$	maximum density of water	$1000$	$\frac{\text{kg}}{\text{m}^{3}}$
${{ρ_{\text{W}}}^{\text{min}}}$	minimum density of water	$950$	$\frac{\text{kg}}{\text{m}^{3}}$

Auxiliary Constants

Software Requirements Specification for Solar Water Heating Systems Incorporating PCM

Values of Auxiliary Constants