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Momentum equation for straight electrically charged jet

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Abstract

A one-dimensional momentum conservation equation for a straight jet driven by an electrical field is developed. It is presented in terms of a stress component, which can be applied to any constitutive relation of fluids. The only assumption is that the fluid is incompressible. The results indicate that both the axial and radial constitutive relations are required to close the governing equations of the straight charged jet. However, when the trace of the extra stress tensor is zero, only the axial constitutive relation is required. It is also found that the second normal stress difference for the charged jet is always zero. The comparison with other developed momentum equations is made.

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Correspondence to C. K. Chan.

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Project supported by the National Natural Science Foundation of China (No. 10772136) and the Research Committee of The Hong Kong Polytechnic University (No. G-YE70)

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Zhang, Rj., Hou, S.H. & Chan, C.K. Momentum equation for straight electrically charged jet. Appl. Math. Mech.-Engl. Ed. 32, 1515–1524 (2011). https://doi.org/10.1007/s10483-011-1520-9

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  • DOI: https://doi.org/10.1007/s10483-011-1520-9

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Chinese Library Classification

2010 Mathematics Subject Classification

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