期刊
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
卷 147, 期 10, 页码 5825-5838出版社
SPRINGER
DOI: 10.1007/s10973-021-10882-4
关键词
Yield stress; Natural convection; Magnetic field
资金
- National Group of Mathematical Physics (GNFM-INdAM)
This paper investigates the flow of a Bingham fluid in a vertical channel, considering the effects of an external magnetic field and natural convection. It is found that the velocity decreases with increasing Bingham and Hartmann numbers, and the presence of an external magnetic field increases the thickness of the plug region. The modulus of the induced magnetic field is not monotone with changes in the Hartmann number, but is a decreasing function of the Bingham number.
In nature, many fluid-like materials exhibit a yield stress below which they behave like a solid. The Bingham model aims to describe such materials. This paper draws some mathematical considerations on the flow of a Bingham fluid in a vertical channel. The situation due to the presence of an external magnetic field and natural convection is analyzed: the external magnetic field, which is orthogonal to the walls of the channel, generates the Lorentz forces that influence the motion through the Hartmann number. The behavior of the velocity, the induced magnetic field and the thickness of the plug regions are discussed and presented graphically. We find that the velocity is a decreasing function of the Bingham and Hartmann numbers. In particular, the presence of the external magnetic field increases the thickness of the plug region. The modulus of the induced magnetic field is not monotone when the Hartmann number changes, but it is a decreasing function of the Bingham number.
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