... differential equations (continuity, momentum, and energy) numerically over wide ranges of the relevant dimensionless parameters, namely, Rayleigh number, 10 4 ≤ Ra ≤ 10 8 ; and height to diameter ratio, 0.15 ≤ h/D ≤ 0.95. The detailed behavior of thermal and flow fields is delineated by suitable visualization...

...Omprakash S. Bharti; Devesh Rajan; Arun K. Saha; Malay K. Das The present research proposes an inverse natural convection algorithm for simultaneous estimation of correct values of Prandtl number (Pr) and Rayleigh number (Ra). The inverse problem is formulated as the minimization of appropriate...

... conductance of the sidewalls. The predictions obtained using this model are found to be in good agreement with the corresponding experimentally determined values. e-mail:  madan016@umn.edu 08 03 2019 12 08 2019 08 10 2019 Rayleigh-Bénard convection Nusselt number Rayleigh number...

... (Bn), Rayleigh number (Ra), and Prandtl number (Pr). It has been observed that with the increase in Bingham number, the buoyancy induced fluid circulation and convection effect decreases inside the enclosure. For each Rayleigh number, there correspond a critical Bingham number for which the heat...

.... To complement the simulations, a scaling analysis is also performed to elucidate the anticipated effects of Rayleigh number (Ra), Prandtl number (Pr) and power-law index (n) on the Nusselt number. The effects of n in the range 0.6 ≤ n ≤ 1.8 on heat and momentum transport are investigated for nominal...

... been obtained in the form of series expansions in terms of a thermal Rayleigh number, which is based on the temperature of the heated sphere and the medium permeability. The results are exemplified by drawing the streamlines at various times. Of special significance is the emergence of a downward flow...

... with vibration when g ∗ = ω ∗ 2 X 0 ∗ . The analysis for the large Vadasz number scaling indicates that a frozen time approximation is appropriate where the effect of vibration is modeled as small variations in the Rayleigh number definition. Nield , D. A. , and Bejan , A. , 1995 , Convection...

... modulation and vertical magnetic field on thermal instability has been studied. The correction in the critical Rayleigh number is calculated as a function of frequency of modulation, Darcy number, Darcy Chandrasekhar number, magnetic Prandtl number, and the nondimensional group number χ . The influence...

.... However, for large volume fraction ϕ > 2 % , the convective heat transfer coefficient declines due to reduction in the Rayleigh number caused by increase in kinematic viscosity. Also, an empirical correlation for Nu ϕ as a function of ϕ and Ra has been developed, and it is observed...

... of the critical Rayleigh number is calculated as function of amplitude and frequency of modulation, Chandrasekhar number, Taylor number, porous parameter, Prandtl number, and magnetic Prandtl number. It is found that rotation, magnetic field, and porous medium all have a stabilizing influence on the onset...