Bernoulli's Equation with Horizontal Flow

Assumptions

(1) Incompressible fluid

(2)  h₁ = h₂

Bernoulli's Equation

P₁  + rgh₂ + 1/2rmv₂² = P₂ + rgh₁ + 1/2rmv₁²          Drop subscripts on density because of incompresible fluid assumption

P₁ + rgh₂ -  rgh₁ +  1/2rmv₂² = P₂  + 1/2rmv₁²    

P₁ + rg(h₂ -  h₁) + 1/2rmv₂² = P₂  + 1/2rmv₁²   

P₁ + 1/2rmv₂² = P₂  + 1/2rmv₁²              Since the heights are equal according to the assumption