The influence of a magnetic field on the skin friction factor of steady fully-developed laminar flow through a pipe was studied experimentally. A mathematical model was introduced and a finite difference scheme used to solve the governing equations in terms of vorticity-stream function. The model predictions agree favourably with experimental results. It is observed that the pressure drop varies in proportion to the square of the product of the magnetic field and the sine of the magnetic field angle. Also, the pressure drop is proportional to the flow rate. This situation is similar to what applies in the absence of a magnetic field. It is found that a transverse magnetic field changes the axial velocity profile from the parabolic to a relatively flat shape. At first, the radial velocity rises more rapidly and then gradually decreases along the pipe until falling to zero. A numerical correlation can be written for the considerable distance required for the new axial velocity profile to establish. Owing to the changes taking place in the axial velocity profile, it exhibits a higher skin friction factor. The new axial velocity profile asymptotically approaches its limit as the Hartmann number becomes large.
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This paper was recommended for publication in revised form by Editor Haecheon Choi
Asadolah Malekzadeh was a research staff at the NIOC from 1997 until 2005. He received the Ph.D. degree in chemical engineering from IAU in 2009 and joined the department of chemical engineering, IAUG in 2010.
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Malekzadeh, A., Heydarinasab, A. & Dabir, B. Magnetic field effect on fluid flow characteristics in a pipe for laminar flow. J Mech Sci Technol 25, 333 (2011). https://doi.org/10.1007/s12206-010-1223-5
- Fluid flow characteristics
- Laminar flow
- MHD flow
- Magnetic field