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They play a central role in the transport of momentum and energy balance at a wide range of scales in both space and time. The most common type of gravity waves is the internal gravity wave (IGW), which occur in the interior of a stable stratied fluid. As examples of instabilty we can mention baroclynic and barotropic instabilities, being both responsibles of cyclogenesis in mid-latitudes and tropics. The characteristic properties of IGWs are usually studied by using the linear Taylor- Goldstein equation, which is obtained by neglecting the thermal conductivity and the viscosity of the fluid. In this study we are going to incorporate these effects. In order to obtain some useful results, we must simplify the non-linear equations of motion, so some approximations are carried out. First we will apply the Boussinesq approximation, and second, we will linearize it by introducing small perturbations. In order to solve these equations we will use Galerkin method. We will analyze the conditions under which the instability arises, as well as its dependence with characteristic parameters like Prandtl number, Rayleigh number and the shear rate of the basic flow.0Doctoral Thesis5342<a class="citation_author_name" title="Navegar por nombre de Autor de Sanz García, Javier" href="/fez/list/author/Sanz García, Javier/">Sanz García, Javier</a>. (<span class="citation_date">2017</span>). <i><a class="citation_title" title="Click para ver : Inestabilidad termoconductiva en un flujo de Couette" href="/fez/view/bibliuned:master-Ciencias-FSC-Jsanz">Inestabilidad termoconductiva en un flujo de Couette</a></i> Master Thesis, <span class="citation_publisher">Universidad Nacional de Educación a Distancia (España). Facultad de Ciencias. Departamento de Física Fundamental</span>Recordmaster TesisPublishedFísicaUniversidad Nacional de Educación a Distancia (España). Facultad de Ciencias. Departamento de Física FundamentalSanz García, JavierCrespo del Arco, EmiliaSánchez Alvarez, Jose Joaquínbibliuned:master-Ciencias-FSC-Jsanzhttp://e-spacio.uned.es/fez/view/bibliuned:master-Ciencias-FSC-JsanzspaSanz_Garcia_Javier_TFM.pdfpresmd_Sanz_Garcia_Javier_TFM.xmlbibliuned:master-Ciencias-FSCbibliuned:Settrabajosfindemasterbibliuned:SetopenaireMáster Universitario en Física de Sistemas Complejos (UNED)Set de items trabajo fin de másterSet de openaireSanz GarcíaAcceso abierto2.032003931982015-10-12T00:00:00Z12402016-01-11T22:34:08Z2019-02-08T18:59:08ZOndas de gravedad internas en fluidos viscosos y termoconductivosbibliuned:master-Ciencias-FSC-PecarracedoInternal gravity waves are waves that generate and propagate inside a fluid that is stable stratified. Waves are, in general, a very efficient way of energy transport other than mean fluid flow. Energy balance at several scales must take into account the contribution of internal gravity waves. In this work, classical theory of internal gravity waves is extended to a model that takes into account for the viscosity and thermal conductivity of fluids, properties that are shown to be the key to understand several observed new phenomena in atmosphere-like and ocean-like fluids as well. The model discussed is achieved under several approximations and using linear stability theory. Additionally, boundary conditions are presented and discussed. The resulting model has the important feature of having analytical solution. Dispersion relation of internal gravity waves in case of viscous and thermal conductive flow, as well as a comparison to classical non viscous flow dispersion relation are discussed and some results are presented.0Doctoral Thesis6882<a class="citation_author_name" title="Navegar por nombre de Autor de Carracedo Garca, Pablo E." href="/fez/list/author/Carracedo Garca, Pablo E./">Carracedo Garca, Pablo E.</a>. (<span class="citation_date">2015</span>). <i><a class="citation_title" title="Click para ver : Ondas de gravedad internas en fluidos viscosos y termoconductivos" href="/fez/view/bibliuned:master-Ciencias-FSC-Pecarracedo">Ondas de gravedad internas en fluidos viscosos y termoconductivos</a></i> Master Thesis, <span class="citation_publisher">Universidad Nacional de Educación a Distancia (España). Facultad de Ciencias</span>Recordmaster TesisPublishedFísicaUniversidad Nacional de Educación a Distancia (España). Facultad de CienciasCarracedo Garca, Pablo E.Crespo del Arco, Emilia (Tutora)Sánchez Álvarez, José Joaquín (Tutor)bibliuned:master-Ciencias-FSC-Pecarracedohttp://e-spacio.uned.es/fez/view/bibliuned:master-Ciencias-FSC-PecarracedospaCarracedo_Garcia_Pablo_TFM.pdfpresmd_Carracedo_Garcia_Pablo_TFM.xmlbibliuned:master-Ciencias-FSCbibliuned:Settrabajosfindemasterbibliuned:SetopenaireMáster Universitario en Física de Sistemas Complejos (UNED)Set de items trabajo fin de másterSet de openaireCarracedo GarcaAcceso abierto2.032003931982015-10-13T00:00:00Z8952015-12-18T00:52:42Z2019-02-08T19:01:11ZOndas inerciales de gravedadbibliuned:master-Ciencias-FSC-MpriegoInertial gravity waves (IGWs) play a fundamental role in many atmospheric and oceanic processes and appear spontaneously during the development of the baroclinic instability, which has a dominant influence on large-scale meteorology. While IGWs have recently been detected in numerical simulations of the baroclinic annulus filled with water or high-Prandtl-number liquids, they have not been found in analogous simulations for low-Prandtl-number fluids, such as air. Hence, it has been suggested that the Prandtl number may affect the occurrence IGWs. In this work, the existence and characteristics of IGWs are studied in a simple model for a thermally stratified rotating fluid that incorporates the effects of viscosity and thermal conductivity. The model is derived in full detail, starting from the basic equations of compressible flow, passing through the Boussinesq approximation and the perturbation equations, and finally arriving at a characteristic cubic dimensionless equation that determines the growth rate of perturbations. The discussion of the solutions to the characteristic equation with respect to the Prandtl P, Rayleigh R, Taylor T, and wave numbers is greatly facilitated by a transformation that reduces the number of parameters from five to two. The analysis of the real part of the growth rate confirms the stability of the equilibrium state and reveals that perturbations are generally more damped the smaller the P. The analysis of the imaginary part corroborates the known results for the inertial limit, where rotation is dominant and oscillations exist for any T, and for the gravitational limit, where stratification prevails and oscillations only appear above a critical R. The main result is however that IGWs only exist in a specific infinite region of the two-dimensional parameter space. This theoretical finding supports the experimental and numerical evidence that, in addition to R and T, P plays a role in the appearance of IGWs. By condensing the dependencies with respect to the P, R, T, and wave numbers in just two parameters, the developed framework also eases the calculation, visualisation, and comparison of the damping and frequency characteristics of IGWs. For example, for two well-documented numerical studies of the baroclinic annulus with P = 0.7 and 16, the model predicts that, far away from the exclusion regions of IGWs, the oscillations for the lower P should be faster and more damped.0Doctoral Thesis7052<a class="citation_author_name" title="Navegar por nombre de Autor de Priego Wood, Martín" href="/fez/list/author/Priego Wood, Martín/">Priego Wood, Martín</a>. (<span class="citation_date">2015</span>). <i><a class="citation_title" title="Click para ver : Ondas inerciales de gravedad" href="/fez/view/bibliuned:master-Ciencias-FSC-Mpriego">Ondas inerciales de gravedad</a></i> Master Thesis, <span class="citation_publisher">Universidad Nacional de Educación a Distancia (España). Facultad de Ciencias</span>Recordmaster TesisPublishedFísicaUniversidad Nacional de Educación a Distancia (España). Facultad de CienciasPriego Wood, MartínCrespo del Arco, Emiliabibliuned:master-Ciencias-FSC-Mpriegohttp://e-spacio.uned.es/fez/view/bibliuned:master-Ciencias-FSC-MpriegospaPriego_Wood_Martin_TFM.pdfpresmd_Priego_Wood_Martin_TFM.xmlbibliuned:master-Ciencias-FSCbibliuned:Settrabajosfindemasterbibliuned:SetopenaireMáster Universitario en Física de Sistemas Complejos (UNED)Set de items trabajo fin de másterSet de openairePriego WoodAcceso abierto1.96493473332333333