Simulating Pulsatile Flows Through a Pipe Orifice by an Immersed-Boundary Method

Alexander Yakhot; Leopold Grinberg; Nikolay Nikitin

doi:10.1115/1.1845554

Journal of Fluids Engineering | Volume 126 | Issue 6 | Article

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Simulating Pulsatile Flows Through a Pipe Orifice by an Immersed-Boundary Method

Alexander Yakhot, Leopold Grinberg and Nikolay Nikitin

[+] Author and Article Information

Alexander Yakhot

The Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beersheva 84105, Israel

Leopold Grinberg

Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beersheva 84105, Israel

Nikolay Nikitin

Institute of Mechanics, Moscow State University, 1 Michurinski prospekt, 119899 Moscow, Russia

J. Fluids Eng 126(6), 911-918 (Mar 11, 2005) (8 pages) doi:10.1115/1.1845554 History: Received July 24, 2003; Revised March 26, 2004; Online March 11, 2005

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Figures

Creeping flow. Dimensionless (a) pressure drop Δp_c and (b) maximum velocity excess ΔU_c vs d/D.

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Creeping flow. Streamlines and vorticity contours, Re_m=0.01.

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Discharge coefficient, C_d. 1—experiment, 2—present, 3— Ref. 7.

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Vorticity contours

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L₂-norm error in the no-slip boundary condition vs Δt²; pulsatile flow

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Time history of the L₂-norm error in the no-slip boundary condition; pulsatile flow

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L₂-norm error in the no-slip boundary condition; steady flow

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Schematic design of a pipe with an orifice

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Yakhot A, Grinberg L, Nikitin N. Simulating Pulsatile Flows Through a Pipe Orifice by an Immersed-Boundary Method. ASME. J. Fluids Eng. 2005;126(6):911-918. doi:10.1115/1.1845554.

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Simulating Pulsatile Flows Through a Pipe Orifice by an Immersed-Boundary Method

References

Figures

ϕ_Q vs Ws,d/D=0.75, solid line—Sexl 9

ϕ_Q vs Ws,d/D=0.5, solid line—Sexl 9

γ_Q/γ_p vs Ws,d/D=0.75

γ_Q/γ_p vs Ws,d/D=0.5

γ_LL_b0 vs Re_m,Ws<3

L_b0 vs Re_m

ϕ_L vs Ws,d/D=0.75

ϕ_L vs Ws,d/D=0.5

L_b(t) vs Δp(t),Re_m=14,d/D=0.5

L_b(t) vs Q(t),Re_m=14,d/D=0.5

Creeping flow. Dimensionless (a) pressure drop Δp_c and (b) maximum velocity excess ΔU_c vs d/D.

Creeping flow. Streamlines and vorticity contours, Re_m=0.01.

Discharge coefficient, C_d. 1—experiment, 2—present, 3— Ref. 7.

Vorticity contours

L₂-norm error in the no-slip boundary condition vs Δt²; pulsatile flow

Time history of the L₂-norm error in the no-slip boundary condition; pulsatile flow

L₂-norm error in the no-slip boundary condition; steady flow

Schematic design of a pipe with an orifice

Tables

Errata

Discussions

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Simulating Pulsatile Flows Through a Pipe Orifice by an Immersed-Boundary Method

References

Figures

ϕQ vs Ws,d/D=0.75, solid line—Sexl 9

ϕQ vs Ws,d/D=0.5, solid line—Sexl 9

γQ/γp vs Ws,d/D=0.75

γQ/γp vs Ws,d/D=0.5

γLLb0 vs Rem,Ws<3

Lb0 vs Rem

ϕL vs Ws,d/D=0.75

ϕL vs Ws,d/D=0.5

Lb(t) vs Δp(t),Rem=14,d/D=0.5

Lb(t) vs Q(t),Rem=14,d/D=0.5

Creeping flow. Dimensionless (a) pressure drop Δpc and (b) maximum velocity excess ΔUc vs d/D.

Creeping flow. Streamlines and vorticity contours, Rem=0.01.

Discharge coefficient, Cd. 1—experiment, 2—present, 3— Ref. 7.

Vorticity contours

L2-norm error in the no-slip boundary condition vs Δt2; pulsatile flow

Time history of the L2-norm error in the no-slip boundary condition; pulsatile flow

L2-norm error in the no-slip boundary condition; steady flow

Schematic design of a pipe with an orifice

Tables

Errata

Discussions

Related Content

Journals

Conference Proceedings

eBooks

ϕ_Q vs Ws,d/D=0.75, solid line—Sexl 9

ϕ_Q vs Ws,d/D=0.5, solid line—Sexl 9

γ_Q/γ_p vs Ws,d/D=0.75

γ_Q/γ_p vs Ws,d/D=0.5

γ_LL_b0 vs Re_m,Ws<3

L_b0 vs Re_m

ϕ_L vs Ws,d/D=0.75

ϕ_L vs Ws,d/D=0.5

L_b(t) vs Δp(t),Re_m=14,d/D=0.5

L_b(t) vs Q(t),Re_m=14,d/D=0.5

Creeping flow. Dimensionless (a) pressure drop Δp_c and (b) maximum velocity excess ΔU_c vs d/D.

Creeping flow. Streamlines and vorticity contours, Re_m=0.01.

Discharge coefficient, C_d. 1—experiment, 2—present, 3— Ref. 7.

L₂-norm error in the no-slip boundary condition vs Δt²; pulsatile flow

Time history of the L₂-norm error in the no-slip boundary condition; pulsatile flow

L₂-norm error in the no-slip boundary condition; steady flow