Combining, gives the continuation equation, or the equation of mass conservation, (5.55)∂ρ∂t=−∇·(ρv) The third important equation is the ideal gas law p=ρTR/M. In a sound wave, density oscillations
Turbulent kinetic energy per unit mass, m2/s2 kf Rate “constant” in Arrhenius rate equation, eqn. (1.3) L Characteristic dimension of jet mixing system, in eqn. (4.1) m Mass of fluid within combustor, kg m˙ Mass flow rate of fluid through combustor, kg/s N Empirical coefficient in ...
faster on a steep slope than a more level one, and it picks up speed as it moves down a slope. Therefore the steeper and longer the slope, the faster runoff water will flow. The faster water flows, the more kinetic energy it can impart to the soil surface (kinetic energy=mass×...
To address this, realistic minimum and maximum values for density and internal energy values for each fuel mass fraction are determined and used to compute the table, taking into account the specific scenarios where the table will be applied. Such limits have been set to ensure that the table ...
Lorentz force, the force on a charged particle q moving with velocity v through an electric field E and magnetic field B. The entire electromagnetic force F on the charged particle is called the Lorentz force (after Dutch physicist Hendrik Lorentz) and i
Density and vapor mass fraction profiles of a liquid oxygen jet surrounded by hydrogen at high speed entering a combustion chamber of a cryotechnic rocket engine. Shear effects induce jet fragmentation. The filaments separating the main liquid core and the gas gradually vanish as a consequence of ...
Catalyst phase mass balance: ∂∂t(ρωi)=1r2∂∂r(r2Deff,iρ∂ωi∂r)+Sr,i in which Sr,i=ρsMi∑j=1nrγijrj Energy balance for gas phase: ερgCρ,g∂Tb∂t=−Cp,g∂∂z(ερguTb)+∂∂z(λax∂Tb∂z)+aq|r=R Energy balance for solid phase: (ε...