A study on the onset of thermally modulated Darcy–Bénard convection

Suthar, Om P.; Siddheshwar, P. G.; Bhadauria, B. S.

doi:10.1007/s10665-016-9853-y

Cited by 13 publications

(1 citation statement)

References 21 publications

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“…The regions enclosed by

c e_{n}

with even indices (i.e.,

n = 0, 2, 4, \dots

) yield synchronous solutions and those enclosed by

c e_{n}

with odd indices (i.e.,

n = 1, 3, 5, \dots

) yield subharmonic (asynchronous) solutions thus implying that the a ‐ q plane consists of alternating regions of synchronous and subharmonic solutions. One may note that we have not considered subharmonic solutions of all possible orders that are found to cause insignificant changes in similar problems [44].…”

Section: Reduction To the Mathieu Equation And Its Direct Solutionmentioning

confidence: 99%

Onset of synchronous and asynchronous convection in modulated nanofluid filled porous media

Saravanan

Kousalya

2020

Z Angew Math Mech

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A theoretical study of the effect of gravity modulation on a nanofluid filled porous medium subjected to a constant temperature gradient across is made. In particular the onset of convection in water based nanofluids containing conventional metallic and metal oxide particles (Cu‐water, Al2O3‐water, TiO2‐water, and Ag‐water) is investigated. The nanofluid behaves more like a single‐phase fluid rather than a conventional solid–liquid mixture. Darcy's law of flow through porous media and Boussinesq approximation are employed. Stability analysis based on the method of small perturbations is performed using the normal mode assumption. The resulting synchronous and asynchronous, restricted to subharmonic, instability modes are predicted directly through the Mathieu functions for different nanoparticle concentrations. It is found that Al2O3‐water nanofluid can be effectively used in applications involving gravity modulation.

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“…The regions enclosed by