Question $3$

Determine and find the dimensionless groups to be formed from the variables involved in the flow of heat from a heated body $($i$.$e$.$ Free Convection$)$ with a fixed temperature difference between the Wall and Fluid $(T_w{T}_H).$ If the Heat transfer coefficient $($ h $)$ is dependent upon the following

Characteristic size of the heated body $($L$)$

Fluid density $()$

Fluid viscosity $()$

Fluid Thermal Conductivity $($ k $)$

Specific Heat Capacity of the fluid $(C_r)$

Buoyancy effects variable $(($:$Bg(T_w-T_t)\}$

Note: $$ is the volumetric thermal expansion coefficient which has dimensions $(1/)$