DOI: 10.1166/jon.2026.2342 ISSN: 2169-432X

Heat and Mass Transfer Analysis of Several Types of G-Jitter and Throughflow on the Micropolar Nanofluid Under the Hele-Shaw Cell

Anish Kumar, B. S. Bhadauria, Ismail

The exploration of micro-polar nanofluid occupied in ‘Hele-Shaw cell’ is examined theoretically in the presence of throughflow and G-jitter. We calculate the ‘linear and non-linear’ results using the ‘normal mode technique’ and the expression of Fourier series, respectively. To check the stability or disability of the system concerning the values of parameters, detected the Rayleigh number. Lewis number and throughflow both cause the system to become unstable. The system is stabilized by the ‘micro-polar parameter’ and the ‘Hele-Shaw number’ and other linear results are discussed in the conclusion part. In non-linear computation, we determined the ‘Nusselt number’ and the ‘Sherwood number’ for both ‘heat and mass transfer’, respectively. We examined the three kinds of gravity modulation and found that the ‘square waveform’ more heat transfer and more mass tansfer than the ‘sine and triangle waveforms’. The impact of several parameters, such as the ‘micro-polar parameter’, the Prandtl number, the amplitude of ‘gravity modulation’, the ‘Hele-Shaw number’, and some other parameters, on ‘heat and mass transfer’ was also investigated. ‘Heat and mass transfer’ in the region are reduced if the ‘Hele-Shaw number’ is increased. More heat transfer and delayed mass transfer in the region when increased the throughflow.

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