Fluid Dynamics of Fire (Physics equations and questions)

Q2.1. a) A physical quantity can be expressed as a product of fundamental quantities (Mass, Length, Time etc) raised by certain exponent and this expression is termed as ‘Dimension’ of that physical quantity.
where g is the gravitational acceleration, β is the coefficient of thermal expansion, DT is the temperature difference between hot wall and the surrounding, L is the characteristic length, and u is the characteristic velocity.
Q 4.2. a) Let us assume that the laminar diffusion flame height (Lf) is directly proportional to volumetric fuel flow rate (Q.) raised to the power ‘a’ and diffusion coefficient (D) raised to power