1,017 research outputs found

    Natural convection in a vertical slot: accurate solution of the linear stability equations

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    The linear stability of natural convection in a fluid between vertical hot and cold walls was studied using a collocation method. Seven figure accurate results for monotonic disturbances were obtained by Ruth (1979) using numerical power series, but this method is intrinsically limited and failed for Pr ? 10 . In contrast, Chebyshev collocation converges more rapidly and allows the computation of results at higher Pr for which oscillatory disturbances dominate. Accurate results are now obtained across the entire Prandtl number range. These match the zero and infinite Pr asymptotes which are also refined here

    Three ways to compute multiport inertance

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    International audienceThe immediate impulse-response of a confined incompressible fluid is characterized by inertance. For a vessel with inlet and outlet, this is a single quantity; for multiple ports the generalization is a singular reciprocal inertance matrix, acting on the port-impulses to give the corresponding inflows. The coefficients are defined by the boundary-fluxes of potential flows. Green's identity converts these to domain integrals of kinetic energy. If the system is discretized with finite elements, a third method is proposed which requires only the stiffness matrix and the solution vectors and no numerical differentiation

    Qualitative research using realist evaluation to explain preparedness for doctors' memorable 'firsts'

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    CONTEXT: Doctors must be competent from their first day of practice if patients are to be safe. Medical students and new doctors are acutely aware of this, but describe being variably prepared. OBJECTIVES: This study aimed to identify causal chains of the contextual factors and mechanisms that lead to a trainee being capable (or not) of completing tasks for the first time. METHODS: We studied three stages of transition: anticipation; lived experience, and post hoc reflection. In the anticipation stage, medical students kept logbooks and audio diaries and were interviewed. Consenting participants were followed into their first jobs as doctors, during which they made audio diaries to capture the lived experiences of transition. Reflection was captured using interviews and focus groups with other postgraduate trainee doctors. All materials were transcribed and references to first experiences ('firsts') were analysed through the lens of realist evaluation. RESULTS: A total of 32 medical students participated. Eleven participants were followed through the transition to the role of doctor. In addition, 70 postgraduate trainee doctors from three local hospitals who were graduates of 17 UK medical schools participated in 10 focus groups. We identified three categories of firsts (outcomes): firsts that were anticipated and deliberately prepared for in medical school; firsts for which total prior preparedness is not possible as a result of the step change in responsibility between the student and doctor identities, and firsts that represented experiences of failure. Helpful interventions in preparation (context) were opportunities for rehearsal and being given responsibility as a student in the clinical team. Building self-efficacy for tasks was an important mechanism. During transition, the key contextual factor was the provision of appropriate support from colleagues. CONCLUSIONS: Transition is a step change in responsibility for which total preparedness is not achievable. This transition is experienced as a rite of passage when the newly qualified doctor first makes decisions alone. This study extends the existing literature by explaining the mechanisms involved in preparedness for firsts

    Characterisation of Low Reynolds Number Fountain behaviour

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    Experimental evidence for previously unreported fountain behaviour is presented. It has been found that the first unstable mode of a wall bounded three dimensional round fountain is a laminar flapping motion that can grow to a circling or multi-modal flapping motion. With increasing Froude and Reynolds numbers, fountain behaviour becomes more disorderly, exhibiting a laminar bobbing motion. The transition between steady behaviour, the initial flapping modes and the laminar bobbing flow can be approximately described by a function C =FrRe 2/3. The transition to turbulence occurs at Re > 120, independent of Froude number. For Fr > 20 and Re 120 these instabilities cause the fountain to intermittently breakdown into turbulent jet like flow. A regime map of the fountain behaviour for 0:7 < Fr < 55 and 15 < Re < 1100 is presented and the underlying mechanisms for the observed behaviour are proposed
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