April 1, 2024Diagnostics Resource and Mechanics of materials and structuresOpen Access

Exact solutions to the oberbeck–boussinesq equations for convective stokes flows

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Exact solutions describe steady three-dimensional convective Stokes flows in non-uniformly heated fluids using polynomial forms for hydrodynamic fields.
Stokes approximation simplifies momentum transfer and heat conduction equations by assuming the convective derivative is identically zero in thin layers.
Framework in the Lin–Sidorov–Aristov class automates computation of velocity and temperature fields, supporting broader modeling of creeping flows.

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Implication

Theoretical analysis reveals exact solutions for convective Stokes flows in non-uniformly heated fluids, suggesting streamlined automated computation of velocity and temperature fields.

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Горулева et al. (2024) studied this question.

synapsesocial.com/papers/68e7119db6db64358768b22e https://doi.org/10.17804/2410-9908.2024.2.036-049

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Implication

Theoretical analysis reveals exact solutions for convective Stokes flows in non-uniformly heated fluids, suggesting streamlined automated computation of velocity and temperature fields.

Exact solutions to the oberbeck–boussinesq equations for convective stokes flows

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Implication

Cite This Study

Exact solutions to the oberbeck–boussinesq equations for convective stokes flows

Key Points

Discussion

Implication

Cite This Study

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