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The Diffusion of Passive Tracers in Laminar Shear Flow

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

T E Moschandreou¹, C G Ellis, D Goldman

¹Department of Medical Biophysics, University of Western Ontario, London, ON, N6A 5C1, Canada.

Journal of Fluids Engineering

|September 28, 2011

Summary

This summary is machine-generated.

Pulsatile flow in tubes can enhance mass transfer mixing efficiency, especially at specific frequencies. This study uses the generalized integral transform (GIT) method to analyze this phenomenon.

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Area of Science:

Fluid Dynamics
Chemical Engineering
Transport Phenomena

Background:

Mass transfer in tubes is crucial for various industrial processes.
Pulsatile flow can significantly alter transport phenomena compared to steady flow.
Understanding the impact of flow dynamics on concentration profiles is essential.

Purpose of the Study:

To develop an approximate-analytical solution for mass transfer in a rigid tube with pulsatile flow.
To investigate the effect of pulsatile flow on bulk concentration and mixing efficiency.
To analyze the radial concentration development and Sherwood number variations.

Main Methods:

Generalized Integral Transform (GIT) method for approximate-analytical solution.
Perturbation expansion to solve coupled ordinary differential equations.
Comparison with numerical solutions for validation.
Analysis of bulk concentration (C(1b)) and Sherwood number.

Main Results:

Pulsatile flow can create a positive peak in bulk concentration, enhancing mixing efficiency at certain frequencies.
Higher frequencies lead to oscillations and dampening of bulk concentration.
The relative Sherwood number varies with frequency, showing both reduction and enhancement of mass transfer.
Concentration profiles develop radially, initially near the wall, and become fully developed downstream.

Conclusions:

The GIT method is effective for solving the governing equations of pulsatile mass transfer.
Flow pulsation introduces complex concentration behaviors, including frequency-dependent mixing enhancement.
Optimal frequency ranges exist for maximizing mass transfer efficiency in pulsatile systems.