Solution of Some Magnetohydrodynamic Problems

Kirko, I. M.

doi:10.1007/978-1-4899-4911-0_3

Cited by 2 publications

(6 citation statements)

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“…In this case the stimulus actually changes the composition of the cholesteric. The effect studied involves the change in pitch of a cholesteric film resulting from exposure to ultraviolet light (6)(7)(8)(9).…”

Section: Discussionmentioning

confidence: 99%

“…In practical applications of levitation melting, perhaps the most significant remaining unknown is the maximum size of a melt for which stable suspension is possible. The literature contains qualitative dynamic theories based on instabilities of a conducting surface in a magnetic field, and subject to perturbations in shape (3,6). This section shows that an upper mass limit can be derived from purely static considerations, under certain restrictions, and that this mass limit is a function of the ratio plus of liquid metal mass density to surface tension.…”

Section: Levitation Of a Molten Samplementioning

confidence: 97%

“…(B) A second gross instability of the suspension, in which the entire sample commences a growing vertical oscillation, leading to its eventual ejection, most likely straight down through the supporting coil (3,6).…”

Section: Levitation Melting Was First Proposed In 1923 Bymentioning

confidence: 99%

“…The introduction of a restoring force towards the coil axis can prevent lateral drift. Several investigators (3,6,7) have found that a small stabilizing coil positioned above a suspended sample, and carrying current opposite in direction to that in the main coil, effectively solves this problem.…”

Section: Levitation Melting Was First Proposed In 1923 Bymentioning

confidence: 99%

“…The introduction of a series capacitor C1 into the primary modifies Eq. [5], [6], [9] and [11] as follows aFsus is positive, self-oscillations occur and the suspension is unstable. This certainly cannot hap-R2 pen for ~2 > CI(RIL2 -t-R2L1) ' but the details of the frequency dependence of the damping coefficient are a function of the particular levitation circuit parameters.…”

Section: Oz (Zoo)mentioning

confidence: 99%

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Some Stability Considerations in Levitation Melting

Bocian¹,

Young

1971

J. Electrochem. Soc.

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Two types of instabilities are considered. First a circuit model for a levitation system is used to form linearized equations for the vertical motions of suspended metal samples. The basic inductive-resistive circuit model is dynamically stable, but capacitance in the circuit of the supporting coil can account for the self-oscillations of some practical levitation setups. Next, for an idealized coil arrangement, and in the case of negligible skin depth within a suspended molten samp.le, an upper bound on the mass of the sample is deduced. This result is a simple function of the metal density and surface tension, and of the order of 10g in favorable instances. Since the purely static considerations in this calculation yield an upper mass limit below what some investigators have tried to melt in levitation experiments, this model explains the rupture of such drops without resort to dynamic models of surface oscillations.

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Section: Discussionmentioning

confidence: 99%

Section: Levitation Of a Molten Samplementioning

confidence: 97%

Section: Levitation Melting Was First Proposed In 1923 Bymentioning

confidence: 99%

Section: Levitation Melting Was First Proposed In 1923 Bymentioning

confidence: 99%

Section: Oz (Zoo)mentioning

confidence: 99%

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Some Stability Considerations in Levitation Melting

Bocian¹,

Young

1971

J. Electrochem. Soc.

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Influence of an external alternating electromagnetic field on convective flows in the bath of an ore-thermal furnace during the melting of oxide refractory materials

Abdrakhmanov,

Kalimbetov

2023

Vib. proced.

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Electric arc melting of oxide materials under the influence of an external electromagnetic field is a high-current and high-temperature technological process, accompanied by powerful electric and magnetic fields and complex structural motion of the melt. In the general case, the movement of the melt in the bath of an electric arc installation is determined by a combination of thermocapillary, thermal concentration, thermal and electromagnetic convections. In this work, based on the analysis of convective flows and the calculation of the integral vortex field of Archimedes forces and electromagnetic forces in the bath, using the OKB-2126A ore-thermal furnace for melting oxide refractory materials as an example, an assessment of thermal and electromagnetic convections was carried out. For the first time it has been established that the value of the integral vorticity of the field of electromagnetic forces in the depth of the bath exceeds the integral vorticity of the field of Archimedes forces by 3-4 times. In real objects, this difference is even greater, since, compared to those accepted in the calculations, the actual current density in the bath is higher, and the temperature difference is lower. Thus, electromagnetic convection in ore-thermal furnaces for melting oxide materials significantly exceeds thermal convection and makes a decisive contribution to the formation of the structure and intensity of melt movement.

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Solution of Some Magnetohydrodynamic Problems

Cited by 2 publications

References 0 publications

Some Stability Considerations in Levitation Melting

Some Stability Considerations in Levitation Melting

Influence of an external alternating electromagnetic field on convective flows in the bath of an ore-thermal furnace during the melting of oxide refractory materials

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