add sheared RB preprint

_bibliography/preprints.bib

@@ -1,3 +1,13 @@
+@misc{yerragolam_scaling_2024,
+  title = {Scaling Relations for Heat and Momentum Transport in Sheared {{Rayleigh-B{\'e}nard}} Convection},
+  author = {Yerragolam, Guru Sreevanshu and Howland, Christopher J. and Stevens, Richard J. A. M. and Verzicco, Roberto and Shishkina, Olga and Lohse, Detlef},
+  year = {2024},
+  month = mar,
+  arxiv = {2403.04418},
+  abstract = {We provide scaling relations for the Nusselt number \(Nu\)\ and the friction coefficient \(C_S\)\ in sheared Rayleigh-Bénard convection, i.e., in Rayleigh-Bénard flow with Couette or Poiseuille type shear forcing, by extending the Grossmann & Lohse (2000,2001,2002,2004) theory to sheared thermal convection. The control parameters for these systems are the Rayleigh number \(Ra\), the Prandtl number \(Pr\), and the Reynolds number \(Re_S\)\ that characterises the strength of the imposed shear. By direct numerical simulations and theoretical considerations, we show that in turbulent Rayleigh-Bénard convection, the friction coefficients associated with the applied shear and the shear generated by the large-scale convection rolls are both well described by Prandtl's (1932) logarithmic friction law, suggesting some kind of universality between purely shear driven flows and thermal convection. These scaling relations hold well for \(10^6 \leq Ra \leq 10^8\), \(0.5 \leq Pr \leq 5.0\), and \(0 \leq Re_S \leq 10^4\).},
+  bibtex_show = {true}
+}
+
 @misc{de_paoli_convective_2023-1,
   title = {Convective Dissolution in Confined Porous Media},
   author = {De Paoli, Marco and Howland, Christopher J. and Verzicco, Roberto and Lohse, Detlef},
@@ -6,4 +16,4 @@ @misc{de_paoli_convective_2023-1
   arxiv = {2310.04068},
   abstract = {We consider the process of convective dissolution in a homogeneous and isotropic porous medium. The flow is unstable due to the presence of a solute that induces a density difference responsible for driving the flow. The mixing dynamics is thus driven by a Rayleigh-Taylor instability at the pore scale. We investigate the flow at the scale of the pores using experimental measurements, numerical simulations and physical models. Experiments and simulations have been specifically designed to mimic the same flow conditions, namely matching porosities, high Schmidt numbers, and linear dependency of fluid density with solute concentration. In addition, the solid obstacles of the medium are impermeable to fluid and solute. We characterise the evolution of the flow via the mixing length, which quantifies the extension of the mixing region and grows linearly in time. The flow structure, analysed via the centre-line mean wavelength, is observed to grow in agreement with theoretical predictions. Finally, we analyse the dissolution dynamics of the system, quantified through the mean scalar dissipation, and three mixing regimes are observed. Initially, the evolution is controlled by diffusion, which produces solute mixing across the initial horizontal interface. Then, when the interfacial diffusive layer is sufficiently thick, it becomes unstable, forming finger-like structures and driving the system into a convection-dominated phase. Finally, when the fingers have grown sufficiently to touch the horizontal boundaries of the domain, the mixing reduces dramatically due to the absence of fresh unmixed fluid. With the aid of simple physical models, we explain the physics of the results obtained numerically and experimentally.},
   bibtex_show = {true}
-}
+}