Governing Equations(cont'd Now, we can see buoyancy effects replace pressure gradient in the momentum equation 8(T-1)+ ax a The buoyancy effects are confined to the momentum equation, so the mass and energy equations are the same 0 Ox dy aT a aT v/au OX Strongly coupled and must be solved simultaneously Heat Transfer Su Yongkang School of Mechanical EngineeringHeat Transfer Su Yongkang School of Mechanical Engineering # 10 Governing Equations (cont’d) • Now, we can see buoyancy effects replace pressure gradient in the momentum equation • The buoyancy effects are confined to the momentum equation, so the mass and energy equations are the same. 2 2 ( ) y u g T T v y u v x u u   = − +   +     = 0   +   y v x u 2 2 2           +   =   +   y u y c T y T v x T u p   Strongly coupled and must be solved simultaneously