Danyale R. McLean, Samantha E. Scarneo‐Miller, Rebecca M. Lopez,
... for the 5 constructs: perceived susceptibility (\(\def\upalpha{\unicode[Times]{x3B1}}\)\(\def\upbeta{\unicode[Times]{x3B2}}\)\(\def\upgamma{\unicode[Times]{x3B3}}\)\(\def\updelta{\unicode[Times]{x3B4}}\)\(\def\upvarepsilon{\unicode[Times]{x3B5}}\)\(\def\upzeta{\unicode[Times]{x3B6}}\)\(\def\upeta{\unicode[Times]{x3B7}}\)\(\def\uptheta{\unicode[Times]{x3B8}}\)\(\def\upiota{\unicode[Times]{x3B9}}\)\(\def\upkappa{\unicode[Times]{x3BA}}\)\(\def\uplambda{\unicode[Times]{x3BB}}\)\(\def\ ...
Tópico(s): Infrared Thermography in Medicine
2020 - National Athletic Trainers' Association | Journal of Athletic Training
... t}(z):=\int _{0}^{\infty }e^{tu^{2}}\unicode[STIX]{x1D6F7}(u)\cos (zu)\,du,\end{eqnarray}$$ where $\unicode[STIX]{x1D6F7}$ is the super-exponentially decaying function $$\begin{eqnarray}\unicode[STIX]{x1D6F7}(u):=\mathop{\sum }_{n=1}^{\infty }(2\unicode[STIX]{x1D70B}^{2}n^{4}e^{9u}-3\unicode[STIX]{x1D70B}n^{2}e^{5u})\exp (-\unicode[STIX]{x1D70B}n^{2}e^{4u}).\end{eqnarray}$$ Newman showed that there exists a finite constant $\unicode[STIX]{x1D6EC}$ (the de Bruijn–Newman constant ) such ... t}$ are all real precisely when $t\geqslant \unicode[STIX]{x1D6EC}$ . The Riemann hypothesis is equivalent to ...
Tópico(s): Black Holes and Theoretical Physics
2020 - Cambridge University Press | Forum of Mathematics Pi
Toni M. Torres-McGehee, Dawn M. Emerson, Kelly Pritchett, Erin Moore, Allison Smith, Nancy A. Uriegas,
... differences between LEA and sport type (\(\def\upalpha{\unicode[Times]{x3B1}}\)\(\def\upbeta{\unicode[Times]{x3B2}}\)\(\def\upgamma{\unicode[Times]{x3B3}}\)\(\def\updelta{\unicode[Times]{x3B4}}\)\(\def\upvarepsilon{\unicode[Times]{x3B5}}\)\(\def\upzeta{\unicode[Times]{x3B6}}\)\(\def\upeta{\unicode[Times]{x3B7}}\)\(\def\uptheta{\unicode[Times]{x3B8}}\)\(\def\upiota{\unicode[Times]{x3B9}}\)\(\def\upkappa{\unicode[Times]{x3BA}}\)\(\def\ ...
Tópico(s): Physical Activity and Health
2020 - National Athletic Trainers' Association | Journal of Athletic Training
... set $V$ and the edge set $E$ . Let $\unicode[STIX]{x1D6E5}$ be the usual graph Laplacian. Consider ... nonlinear Schrödinger equation of the form $$\begin{eqnarray}-\unicode[STIX]{x1D6E5}u-\unicode[STIX]{x1D6FC}u=f(x,u),\quad u\ ... R}$ is a nonlinear real-valued function and $\unicode[STIX]{x1D6FC}$ is a parameter. We prove an ... satisfies the curvature-dimension type inequality $CD(m,\unicode[STIX]{x1D709})$ . Then by using the Poincaré–Sobolev ... nontrivial solution to the nonlinear Schrödinger equation if $\unicode[STIX]{x1D6FC}<2\unicode[STIX]{x1D706}_{1}^{2}/ ...
Tópico(s): Spectral Theory in Mathematical Physics
2020 - Cambridge University Press | Bulletin of the Australian Mathematical Society
... quasi-periodic system: $$\begin{eqnarray}{\dot{x}}=(A+\unicode[STIX]{x1D716}P(t,\unicode[STIX]{x1D716}))x+\unicode[STIX]{x1D716}g(t,\unicode[STIX]{x1D716})+h(x,t,\unicode[STIX]{x1D716}),\quad x\in \mathbb{R}^{d},\ ... d\times d$ constant matrix of elliptic type, $\unicode[STIX]{x1D716}g(t,\unicode[STIX]{x1D716})$ is a small perturbation with $\unicode[STIX]{x1D716}$ as a small parameter, $h(x,t,\unicode[STIX]{x1D716})=O(x^{2})$ as $x\rightarrow ... analytic quasi-periodic in $t$ with basic frequencies $\unicode[STIX]{x1D714}=(1,\unicode[STIX]{x1D6FC})$ , where $\unicode[ ...
Tópico(s): Advanced Differential Equations and Dynamical Systems
2020 - Cambridge University Press | Ergodic Theory and Dynamical Systems
Ming‐Xiang Zhao, Wei‐Xi Huang, Chunxiao Xu,
... and the control parameters, namely, the angular frequency $\unicode[STIX]{x1D714}^{+}=\unicode[STIX]{x1D714}\unicode[STIX]{x1D708}/u_{\unicode[STIX]{x1D70F}0}^{2}$ and the streamwise wavenumber $k_{x}^{+}=k_{x}\unicode[STIX]{x1D708}/u_{\unicode[STIX]{x1D70F}0}$ , is obtained at the oscillation amplitude of ${A^{+}=A/u}_{\unicode[STIX]{x1D70F}0}=16$ , where $u_{\unicode[STIX]{x1D70F}0}$ is the friction velocity of the uncontrolled flow and $\unicode[STIX]{x1D708}$ is the kinematic viscosity of the ...
Tópico(s): Wind and Air Flow Studies
2019 - Cambridge University Press | Journal of Fluid Mechanics
David G. Schaeffer, T. Barker, Daisuke Tsuji, Pierre A. Gremaud, Michael Shearer, J. M. N. T. Gray,
... stiffness. Such flows have been modelled with the $\unicode[STIX]{x1D707}(I),\unicode[STIX]{x1D6F7}(I)$ -rheology, which postulates that the bulk friction coefficient $\unicode[STIX]{x1D707}$ (i.e. the ratio of the ... to the pressure) and the solids volume fraction $\unicode[STIX]{x1D719}$ are functions of the inertial number $I$ only. Although the $\unicode[STIX]{x1D707}(I),\unicode[STIX]{x1D6F7}(I)$ -rheology has been validated in ... formulated. In this paper an alternative to the $\unicode[STIX]{x1D707}(I),\unicode[STIX]{x1D6F7}(I)$ -rheology ...
Tópico(s): Soil and Unsaturated Flow
2019 - Cambridge University Press | Journal of Fluid Mechanics
Tomoaki Watanabe, Carlos B. da Silva, Koji Nagata,
The non-dimensional dissipation rate $C_{\unicode[STIX]{x1D700}}=\unicode[STIX]{x1D700}L/u^{\prime 3}$ , where $\unicode[STIX]{x1D700}$ , $L$ and $u^{\prime }$ are the viscous energy dissipation ... and turbulent sublayer regions. The computation of $C_{\unicode[STIX]{x1D700}}$ is made possible by the introduction ... dimensional dissipation rate and turbulent Reynolds number $Re_{\unicode[STIX]{x1D706}}$ vary in space within the TNTI layer, where two relations are observed: $C_{\unicode[STIX]{x1D700}}\sim Re_{\unicode[STIX]{x1D706}}^{-1}$ ...
Tópico(s): Combustion and flame dynamics
2019 - Cambridge University Press | Journal of Fluid Mechanics
... Burgers turbulence, where the shock amplitude scales as $(\unicode[STIX]{x1D716}d)^{1/3}$ and the $p$ th-order structure function scales as $(\unicode[STIX]{x1D716}d)^{p/3}r/d$ , $\unicode[STIX]{x1D716}$ being the mean energy dissipation per ... the separation distance. However, for the acoustic field, $\unicode[STIX]{x1D716}$ should be replaced by $\unicode[STIX]{x1D716}+\unicode[STIX]{x1D712}$ , where $\unicode[STIX]{x1D712}$ is associated with entropy production due ... third-order longitudinal structure function scales as $\langle \unicode[STIX]{x1D6FF}u_{r}^{3}\rangle =-C(\unicode[ ...
Tópico(s): Meteorological Phenomena and Simulations
2019 - Cambridge University Press | Journal of Fluid Mechanics
Yi-Chao Xie, Bu-Ying-Chao Cheng, Yun-Bing Hu, Ke‐Qing Xia,
... the root-mean-square (r.m.s.) temperature $\unicode[STIX]{x1D70E}_{T}$ and the r.m.s. velocity $\unicode[STIX]{x1D70E}_{w}$ in the bulk of Rayleigh– ... find that, once scaled by the convective temperature $\unicode[STIX]{x1D703}_{\ast }$ , the value of $\unicode[STIX]{x1D70E}_{T}$ at the cell centre is a constant ( $\unicode[STIX]{x1D70E}_{T,c}/\unicode[STIX]{x1D703}_{\ast }\approx 0.85$ ) over a ... cell. A constant close to unity suggests that $\unicode[STIX]{x1D703}_{\ast }$ is a proper measure of ... in the core region. On the other hand, $\unicode[STIX]{x1D70E}_{w,c}/w_{\ast }$ , the vertical ...
Tópico(s): Wind and Air Flow Studies
2019 - Cambridge University Press | Journal of Fluid Mechanics
Maulik Shah, Volkert van Steijn, Chris R. Kleijn, Michiel T. Kreutzer,
... by two parameters: the strength of thermal fluctuations, $\unicode[STIX]{x1D703}$ , and the strength of drainage, $\unicode[STIX]{x1D705}$ . For strong drainage ( $\unicode[STIX]{x1D705}\gg \unicode[STIX]{x1D705}_{tr}$ ), we find that the film ... the rupture time, $t_{r}$ , solely depends on $\unicode[STIX]{x1D705}$ , according to the earlier reported scaling, $t_{r}\sim \unicode[STIX]{x1D705}^{-10/7}$ . By contrast, for weak drainage ( $\unicode[STIX]{x1D705}\ll \unicode[STIX]{x1D705}_{tr}$ ), the film ruptures at a ... dominated regime, the rupture time solely depends on $\unicode[STIX]{x1D703}$ as $t_{r}\sim -(1/\unicode[ ...
Tópico(s): Surface Modification and Superhydrophobicity
2019 - Cambridge University Press | Journal of Fluid Mechanics
Xi Chen, Fazle Hussain, Zhen-Su She,
... analytic prediction of non-universal Reynolds number ( $Re_{\unicode[STIX]{x1D70F}}$ ) scaling transition of the maximum TMC ... prime }}_{p}^{+}$ ) displays a scaling transition from $Re_{\unicode[STIX]{x1D70F}}^{3/7}$ ( $Re_{\unicode[STIX]{x1D70F}}^{-6/7}$ ) to $Re_{\unicode[STIX]{x1D70F}}^{3/5}$ ( $Re_{\unicode[STIX]{x1D70F}}^{-3/5}$ ) in turbulent boundary layer, in sharp contrast to that from $Re_{\unicode[STIX]{x1D70F}}^{1/3}$ ( $Re_{\unicode[STIX]{x1D70F}}^{-2/3}$ ) to $Re_{\unicode[STIX]{x1D70F}}^{1/2}$ ( $Re_{\unicode[STIX]{x1D70F}}^{- ...
Tópico(s): Wind and Air Flow Studies
2019 - Cambridge University Press | Journal of Fluid Mechanics
Alessio Roccon, Francesco Zonta, Alfredo Soldati,
... a thin layer of less-viscous fluid (viscosity $\unicode[STIX]{x1D702}_{1}$ ) from a main layer of a more-viscous fluid (viscosity $\unicode[STIX]{x1D702}_{2}$ ). To single out the effect ... having the same density and the same viscosity ( $\unicode[STIX]{x1D706}=\unicode[STIX]{x1D702}_{1}/\unicode[STIX]{x1D702}_{2}=1$ ), and we lower the viscosity of the lubricating layer down to $\unicode[STIX]{x1D706}=\unicode[STIX]{x1D702}_{1}/\unicode[STIX]{x1D702}_{2}=0.25$ , which corresponds to ... when the two fluids have the same viscosity ( $\unicode[STIX]{x1D706}=1$ ), and corresponds to the relaminarization ...
Tópico(s): Lattice Boltzmann Simulation Studies
2019 - Cambridge University Press | Journal of Fluid Mechanics
Qi Wang, Quan Zhou, Zhen‐Hua Wan, De‐Jun Sun,
... 7}$ to $10^{10}$ . The density inversion parameter $\unicode[STIX]{x1D703}_{m}$ varies from 0 to 0. ... top and bottom thermal boundary-layer thicknesses ( $F_{\unicode[STIX]{x1D706}}=\unicode[STIX]{x1D706}_{t}^{\unicode[STIX]{x1D703}}/\unicode[STIX]{x1D706}_{b}^{\unicode[STIX]{x1D703}}$ ) increases with increasing $\unicode[STIX]{x1D703}_{m}$ , and the relationship between $F_{\unicode[STIX]{x1D706}}$ and $\unicode[STIX]{x1D703}_{m}$ seems to be independent of $ ...
Tópico(s): Wind and Air Flow Studies
2019 - Cambridge University Press | Journal of Fluid Mechanics
Oliver McEnteggart, Jason Miller, Wei Qian,
... a simple set of geometric conditions on curves $\unicode[STIX]{x1D702}$ , $\widetilde{\unicode[STIX]{x1D702}}$ in $\mathbf{H}$ from $0$ to $\infty$ so that if $\unicode[STIX]{x1D711}:\mathbf{H}\rightarrow \mathbf{H}$ is a homeomorphism which is conformal off $\unicode[STIX]{x1D702}$ with $\unicode[STIX]{x1D711}(\unicode[STIX]{x1D702})=\widetilde{\unicode[STIX]{x1D702}}$ then $\unicode[STIX]{x1D711}$ is a conformal automorphism of $\mathbf{ ... gravity (LQG). In particular, we show that if $\unicode[STIX]{x1D702}$ is a non-space-filling $\text{ ...
Tópico(s): Geometric Analysis and Curvature Flows
2019 - Cambridge University Press | Journal of the Institute of Mathematics of Jussieu
José Manuel Gordillo, Javier Rodríguez‐Rodríguez,
... jet ejection process, is determined by the wavelength $\unicode[STIX]{x1D706}^{\ast }$ of the smallest capillary wave ... the associated radial velocities increase, with the wavelength $\unicode[STIX]{x1D706}^{\ast }$ . We show that $\unicode[STIX]{x1D706}^{\ast }$ increases with viscosity as $\unicode[STIX]{x1D706}^{\ast }\propto Oh^{1/2}$ for $Oh\lesssim O(0.01)$ , with $Oh=\unicode[STIX]{x1D707}/\sqrt{\unicode[STIX]{x1D70C}R\unicode[STIX]{x1D70E}}$ the Ohnesorge number, $R$ the bubble radius and $\unicode[STIX]{x1D70C}$ , $\unicode[STIX]{x1D707}$ and $\unicode[STIX]{ ...
Tópico(s): Fluid Dynamics Simulations and Interactions
2019 - Cambridge University Press | Journal of Fluid Mechanics
Charlene Kalle, Derong Kong, Niels Langeveld, Wenxia Li,
For $\unicode[STIX]{x1D6FD}\in (1,2]$ the $\unicode[STIX]{x1D6FD}$ -transformation $T_{\unicode[STIX]{x1D6FD}}:[0,1)\rightarrow [0,1)$ is defined by $T_{\unicode[STIX]{x1D6FD}}(x)=\unicode[STIX]{x1D6FD}x\hspace{0.6em}({\rm mod}\ ... 1)$ . For $t\in [0,1)$ let $K_{\unicode[STIX]{x1D6FD}}(t)$ be the survivor set of $T_{\unicode[STIX]{x1D6FD}}$ with hole $(0,t)$ given by $$\begin{eqnarray}K_{\unicode[STIX]{x1D6FD}}(t):=\{x\in [0,1):T_{\unicode[STIX]{x1D6FD}}^{n}(x)\not \in (0,t)\ ... this paper we characterize the bifurcation set $E_{\unicode[STIX]{x1D6FD}}$ of all parameters $t\in [0, ...
Tópico(s): Advanced Topology and Set Theory
2019 - Cambridge University Press | Ergodic Theory and Dynamical Systems
Xiaojue Zhu, Richard J. A. M. Stevens, Olga Shishkina, Roberto Verzicco, Detlef Lohse,
... regular, mono-scale, surface roughness, the scaling exponent $\unicode[STIX]{x1D6FD}$ in the relationship between the Nusselt ... and the Rayleigh number $Ra$ , $Nu\sim Ra^{\unicode[STIX]{x1D6FD}}$ can be ${\approx}1/2$ locally, ... to ensure that the thermal boundary layer thickness $\unicode[STIX]{x1D706}_{\unicode[STIX]{x1D703}}$ is comparable to the roughness height. However, at even larger $Ra$ , $\unicode[STIX]{x1D706}_{\unicode[STIX]{x1D703}}$ becomes thin enough to follow the irregular surface and $\unicode[STIX]{x1D6FD}$ saturates back to the value for ...
Tópico(s): Particle Dynamics in Fluid Flows
2019 - Cambridge University Press | Journal of Fluid Mechanics
L. Djenidi, R. A. Antonia, S. L. Tang,
... third-order moments of the longitudinal velocity increment, $(\unicode[STIX]{x1D6FF}u)$ . Once the normalised equations and ... measurements. It is found that the fluid viscosity, $\unicode[STIX]{x1D708}$ , and the mean kinetic energy dissipation rate, $\overline{\unicode[STIX]{x1D716}}$ (the overbar denotes spatial and/or ... of the skewness and the flatness factor of $(\unicode[STIX]{x1D6FF}u)$ and shows that these distributions ... ranges, as the Taylor microscale Reynolds number $Re_{\unicode[STIX]{x1D706}}$ increases indefinitely. Also, the skewness and ...
Tópico(s): Particle Dynamics in Fluid Flows
2019 - Cambridge University Press | Journal of Fluid Mechanics
Antoine Martin, Maria Eletta Negretti, E. J. Hopfinger,
... currents moving onto sloping boundaries with slope angles $\unicode[STIX]{x1D703}=7^{\circ }$ , $10^{\circ }$ and $15^{\ ... profiles, characterized by the Richardson number $J_{i}=\unicode[STIX]{x1D6FF}_{i}{g_{0}}^{\prime }/\unicode[STIX]{x0394}u_{i}^{2}$ , where $\unicode[STIX]{x1D6FF}_{i}$ , $\unicode[STIX]{x0394}u_{i}$ and $g_{0}^{\prime }$ ... by an overall acceleration parameter $\overline{T_{a}}=(\unicode[STIX]{x1D6FF}_{i}/U_{i})((U_{c}-U_{ ... first order, is given by $J_{i}\sin \unicode[STIX]{x1D703}$ , where $U_{c}$ and $x_{c}$ ... J_{c}$ decreases with increasing $J_{i}$ (increasing $\unicode[STIX]{x1D6FF}_{i}/h_{i}$ ) which is due ...
Tópico(s): Fluid Dynamics and Turbulent Flows
2019 - Cambridge University Press | Journal of Fluid Mechanics
Thomasina V. Ball, Herbert E. Huppert,
... obtain useful formulae for the time of approach, $\unicode[STIX]{x1D70F}(p)$ , for a number of different ... that for any initial shape of volume $V,\unicode[STIX]{x1D70F}\propto 1/(\unicode[STIX]{x1D6FD}V^{1/3}\unicode[STIX]{x1D6FE}_{0}^{8/3}p)$ (as $p\downarrow 0$ ), where $\unicode[STIX]{x1D6FD}=g\unicode[STIX]{x0394}\unicode[STIX]{x1D70C}/(3\unicode[STIX]{x1D707})$ , with $g$ representing the acceleration due to gravity, $\unicode[STIX]{x0394}\unicode[STIX]{x1D70C}$ the density difference ...
Tópico(s): Enhanced Oil Recovery Techniques
2019 - Cambridge University Press | Journal of Fluid Mechanics
Adolfo Vázquez-Quesada, Pep Español, R. I. Tanner, Marco Ellero,
... conditions (i.e. up to solid volume fraction $\unicode[STIX]{x1D719}=0.3$ ) is explored. It is ... the macroscopic imposed shear rate), relative suspension viscosities $\unicode[STIX]{x1D702}_{r}$ exhibit a plateau at every ... of the underlying viscoelastic matrix. Under dilute conditions ( $\unicode[STIX]{x1D719}=0.05$ ), numerical results for $\unicode[STIX]{x1D702}_{r}$ agree quantitatively with experimental data in both the $De$ and $\unicode[STIX]{x1D719}$ dependences. Even under dilute conditions, simulations ... values. By increasing the solid volume fraction towards $\unicode[STIX]{x1D719}=0.3$ , despite the fact that ...
Tópico(s): Material Dynamics and Properties
2019 - Cambridge University Press | Journal of Fluid Mechanics
Naveed Hussain, Stephen S.‐T. Yau, Huaiqing Zuo,
... moduli algebra $A(V):={\mathcal{O}}_{n}/(f,\unicode[STIX]{x2202}f/\unicode[STIX]{x2202}x_{1},\ldots ,\unicode[STIX]{x2202}f/\unicode[STIX]{x2202}x_{n})$ , that is, $L(V)=\ ... L(V)$ is finite dimensional and its dimension $\unicode[STIX]{x1D706}(V)$ is called the Yau number. ... of $L^{k}(V)$ , which we denote by $\unicode[STIX]{x1D706}^{k}(V)$ . In particular, $L^{0}( ... algebra, that is, $L^{0}(V)=L(V),\unicode[STIX]{x1D706}^{0}(V)=\unicode[STIX]{x1D706}(V)$ . These numbers $\unicode[STIX]{x1D706}^{k}(V)$ are new numerical analytic ...
Tópico(s): Geometry and complex manifolds
2019 - Cambridge University Press | Journal of the Australian Mathematical Society
A. R. Premlata, Hsien-Hung Wei,
... with the time-varying Stokes boundary layer thickness $\unicode[STIX]{x1D6FF}$ in competition with the slip length $\unicode[STIX]{x1D706}$ . Here we revisit the unsteady motion ... high-frequency constant force plateau of $O(a/\unicode[STIX]{x1D706})$ much greater than the steady drag due to a constant shear stress caused by $\unicode[STIX]{x1D6FF}$ much thinner than $\unicode[STIX]{x1D706}$ and (ii) the persistence of the ... the frequency until the slip–stick transition point $\unicode[STIX]{x1D6FF}\sim \unicode[STIX]{x1D706}$ , beyond which $\ ...
Tópico(s): Micro and Nano Robotics
2019 - Cambridge University Press | Journal of Fluid Mechanics
Spencer Backman, Matthew Baker, Chi Ho Yuen,
... and then define a family of combinatorial bijections $\unicode[STIX]{x1D6FD}_{\unicode[STIX]{x1D70E},\unicode[STIX]{x1D70E}^{\ast }}$ between ${\mathcal{G}}(M)$ and bases of $M$ . (Here $\unicode[STIX]{x1D70E}$ (respectively $\unicode[STIX]{x1D70E}^{\ast }$ ) is an acyclic signature of ... give a geometric interpretation of each such map $\unicode[STIX]{x1D6FD}=\unicode[STIX]{x1D6FD}_{\unicode[STIX]{x1D70E},\unicode[STIX]{x1D70E}^{\ast }}$ in terms of zonotopal subdivisions ...
Tópico(s): Graph theory and applications
2019 - Cambridge University Press | Forum of Mathematics Sigma
Sarma L. Rani, Rohit Dhariwal, Donald L. Koch,
... at a Taylor micro-scale Reynolds number $Re_{\unicode[STIX]{x1D706}}=77.76$ for three Froude numbers $ ... numbers in the range $0.01\leqslant St_{\unicode[STIX]{x1D702}}\leqslant 0.2$ were tracked in ... the DNS and theory values for the exponent $\unicode[STIX]{x1D6FD}$ characterizing the power-law dependence of clustering on separation. The $\unicode[STIX]{x1D6FD}$ from the $Fr=0.006$ DNS ... predicts that the spherical harmonic coefficient scales with $\unicode[STIX]{x1D6FD}(=\unicode[STIX]{x1D6FD}_{2}St_{\unicode[ ...
Tópico(s): Aeolian processes and effects
2019 - Cambridge University Press | Journal of Fluid Mechanics
... Couette flow, with a fixed radius ratio of $\unicode[STIX]{x1D702}=r_{i}/r_{o}=1/3$ ... difference between cases where the Rossby number $Ro=(\unicode[STIX]{x1D6FA}_{i}-\unicode[STIX]{x1D6FA}_{o})/\unicode[STIX]{x1D6FA}_{o}>0$ and cases with $Ro<0$ , where $\unicode[STIX]{x1D6FA}_{i}$ and $\unicode[STIX]{x1D6FA}_{o}$ are the inner- and outer- ... m$ can be seen as the rotation rate $\unicode[STIX]{x1D6FA}_{0}$ increases, but $Ro<0$ gives $ ... of the critical $Ro$ with Ekman number $E=\unicode[STIX]{x1D708}/(\unicode[STIX]{x1D6FA}_{o}\,d^{2})$ , ...
Tópico(s): Geology and Paleoclimatology Research
2019 - Cambridge University Press | Journal of Fluid Mechanics
... a root-mean-square roughness of $0.29\unicode[STIX]{x1D706}$ and an average texture width of $5.0\unicode[STIX]{x1D706}$ , where $\unicode[STIX]{x1D706}=17~\unicode[STIX]{x03BC}\text{m}$ is the inner flow ... with a streamwise slip length of $5.9\unicode[STIX]{x1D706}$ and a spanwise slip length of $5.9\unicode[STIX]{x1D706}$ . As a result, both the near- ... streamwise-elongated regions with a length of $800\unicode[STIX]{x1D706}$ and a spanwise width of $300\unicode[STIX]{x1D706}$ . The plastron dimensions correspond to the ...
Tópico(s): Fluid Dynamics and Vibration Analysis
2019 - Cambridge University Press | Journal of Fluid Mechanics
Manuel Gamero-Castaño, M. Magnani,
... all other physical properties such as the density $\unicode[STIX]{x1D70C}$ , surface tension $\unicode[STIX]{x1D6FE}$ and viscosity $\unicode[STIX]{x1D707}$ are kept constant and equal to ... is a function of both the dielectric constant $\unicode[STIX]{x1D700}$ of the liquid and its Reynolds number, $Re=(\unicode[STIX]{x1D70C}\unicode[STIX]{x1D700}_{o}\unicode[STIX]{x1D6FE}^{2}/\unicode[STIX]{x1D707}^{3}K)^{1/3}$ . This result ... a minimum flow rate that depends only on $\unicode[STIX]{x1D700}$ and/or is marginally affected by $ ...
Tópico(s): Fluid Dynamics and Heat Transfer
2019 - Cambridge University Press | Journal of Fluid Mechanics