Chap5(MB)Lec

# present initialin out flow in flow out r h r amount

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: + Δr − r ȹ Ⱥ t ȹ 2 ȹ 2 2 ȹ = φhC j π ȹ r + 2rΔr + Δr − r ȹ Ⱥ t ȹ ( ( ) ( ) ) () ( ≅ 2πrΔr φhC j )t Microscopic Balances... present-initial=in- out Flow in Flow out r h Δr Amount of j into CV during Δt In ( ( ) ) () = 2π r + Δr hN j Δt = 2πh rN j Δt r + Δr r + Δr Amount of j from CV during Δt From () = 2πh rN j Δt r Microscopic Balances... Flow in Flow out r h Δr present-initial=in- out ( ) t+ Δt −2πrΔr (φhCj ) t = 2πh ( rN j ) Δt −2π ( rN j ) Δt r + Δr r 2πrΔr φhC j Microscopic Balances... present-initial=in- out Flow in Flow out r h Δr ( ) t+ Δt − 2πrΔr (φhCj ) t = 2πh ( rN j ) Δt − 2πh ( rN j ) Δt r + Δr r (φCj ) t+ Δt − (φCj ) t = (rN j ) r+ Δr − (rN j ) r 2πrΔr φhC j Δt Δr Microscopic Balances... Flow in Flow out r h Δr In the limit of Δr, Δt approaching 0 ȹ ∂ φC ȹ ȹ ∂ rN ȹ j j ȹ ȹ = 1 ȹ ȹ r ȹ ∂r ȹ ȹ ∂t ȹ ȹ Ⱥ r ȹ Ⱥ t () () Microscopic Balances... Constant thickness () () ȹ ∂ φC...
View Full Document

Ask a homework question - tutors are online