An approximate-analytical solution method is presented for the problem of mass transfer in a rigid tube with pulsatile flow. For the case of constant wall concentration, it is shown that the generalized integral transform (GIT) method can be used to obtain a solution in terms of a perturbation expansion, where the coefficients of each term are given by a system of coupled ordinary differential equations. Truncating the system at some large value of the parameter $N$, an approximate solution for the system is obtained for the first term in the perturbation expansion, and the GIT-based solution is verified by comparison to a numerical solution. The GIT approximate-analytical solution indicates that for small to moderate nondimensional frequencies for any distance from the inlet of the tube, there is a positive peak in the bulk concentration $C1b$ due to pulsation, thereby, producing a higher mass transfer mixing efficiency in the tube. As we further increase the frequency, the positive peak is followed by a negative peak in the time-averaged bulk concentration and then the bulk concentration $C1b$ oscillates and dampens to zero. Initially, for small frequencies the relative Sherwood number is negative indicating that the effect of pulsation tends to reduce mass transfer. There is a band of frequencies, where the relative Sherwood number is positive indicating that the effect of pulsation tends to increase mass transfer. The positive peak in bulk concentration corresponds to a matching of the phase of the pulsatile velocity and the concentration, respectively, where the unique maximum of both occur for certain time in the cycle. The oscillatory component of concentration is also determined radially in the tube where the concentration develops first near the wall of the tube, and the lobes of the concentration curves increase with increasing distance downstream until the concentration becomes fully developed. The GIT method proves to be a working approach to solve the first two perturbation terms in the governing equations involved.

Article navigation

Research Papers

# Mass Transfer in a Rigid Tube With Pulsatile Flow and Constant Wall Concentration

T. E. Moschandreou

,
T. E. Moschandreou

Department of Medical Biophysics,

tmoschan@uwo.ca
University of Western Ontario

, London, ON, N6A 5C1, Canada
Search for other works by this author on:

C. G. Ellis

,
C. G. Ellis

Department of Medical Biophysics,

cgellis@uwo.ca
University of Western Ontario

, London, ON, N6A 5C1, Canada
Search for other works by this author on:

D. Goldman

D. Goldman

Department of Medical Biophysics,

dgoldma2@uwo.ca
University of Western Ontario

, London, ON, N6A 5C1, Canada
Search for other works by this author on:

T. E. Moschandreou

Department of Medical Biophysics,

University of Western Ontario

, London, ON, N6A 5C1, Canadatmoschan@uwo.ca

C. G. Ellis

Department of Medical Biophysics,

University of Western Ontario

, London, ON, N6A 5C1, Canadacgellis@uwo.ca

D. Goldman

Department of Medical Biophysics,

University of Western Ontario

, London, ON, N6A 5C1, Canadadgoldma2@uwo.ca

*J. Fluids Eng*. Aug 2010, 132(8): 081202 (11 pages)

**Published Online:**August 18, 2010

Article history

Received:

April 7, 2010

Revised:

June 16, 2010

Online:

August 18, 2010

Published:

August 18, 2010

Citation

Moschandreou, T. E., Ellis, C. G., and Goldman, D. (August 18, 2010). "Mass Transfer in a Rigid Tube With Pulsatile Flow and Constant Wall Concentration." ASME. *J. Fluids Eng*. August 2010; 132(8): 081202. https://doi.org/10.1115/1.4002213

Download citation file:

- Ris (Zotero)
- Reference Manager
- EasyBib
- Bookends
- Mendeley
- Papers
- EndNote
- RefWorks
- BibTex
- ProCite
- Medlars

Close

#### Sign In

### Cited By

Stagnation Flow and Heat Transfer From a Finite Disk Situated Perpendicular to a Uniform Stream

J. Fluids Eng (March 2020)

Modeling Bubble Motions by Underwater Explosion in a Centrifuge

J. Fluids Eng (April 2020)

Special Issue on the 2019 ASME–JSME–KSME Joint Fluids Engineering Conference

J. Fluids Eng (March 2020)

### Related Articles

Influence of Pulsating Flow on Close-Coupled Catalyst Performance

J. Eng. Gas Turbines Power (July, 2005)

A Simplified Model of Heat and Mass Transfer Between Air and Falling-Film Desiccant in a Parallel-Plate Dehumidifier

J. Heat Transfer (May, 2009)

Laminar Heat and Mass Transfer in Rotating Cone-and-Plate Devices

J. Heat Transfer (February, 2011)

Optimal Internal Structure of Volumes Cooled by Single-Phase Forced and Natural Convection

J. Electron. Packag (June, 2003)

### Related Proceedings Papers

### Related Chapters

Laminar Fluid Flow and Heat Transfer

Applications of Mathematical Heat Transfer and Fluid Flow Models in Engineering and Medicine

Convection Mass Transfer Through Air–Water Interface

Case Studies in Fluid Mechanics with Sensitivities to Governing Variables

Heat and Mass Transfer Enhancement of Falling Film Absorption for Various Surface Geometries

Inaugural US-EU-China Thermophysics Conference-Renewable Energy 2009 (UECTC 2009 Proceedings)