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    Three Dimensional Double Diffusive Convection in Saturated Porous Media

    , M.Sc. Thesis Sharif University of Technology Tabrizi Nejad As, Sara (Author) ; Aataiee-Ashtiani, Behzad (Supervisor)
    Abstract
    Thermal and compositional variations through porous media are the main causes of bringing changes in the density of the fluid in place and arising in density-driven flow. This phenomenon is usually called thermohaline or thermosolutal convection (TC). When the flow is driven by the concentration gradient of two different compositions the problem is called double-diffusive convection (DDC). This phenomenon can be observed in several applications as in geological carbon dioxide sequestration, geothermal systems, underground thermal energy storage, salt mining, salt domes, groundwater management, waste disposal, and seawater intrusion.Despite that TC processes are three-dimensional by nature... 

    Analytical Solution of Two Layered Flow in Transition to Approach Controlled Flow

    , M.Sc. Thesis Sharif University of Technology Ghazi Nezami, Arefeh (Author) ; Jamali, Mirmosadegh (Supervisor)
    Abstract
    In nature, tidal currents are visible in gorges and in saltwater and freshwater collisions. In the study of behavior of different types of flow, it is usually assumed that the pressure is hydrostatic and the equations are solved based on this assumption. In the Approach Controlled regime observed during the double layer in 1993, the modeling performed using the equations derived from this assumption did not fit the results of the experiments. This demonstrates the inability of the hydrostatic pressure assumption to solve this particular regime. Hence, the equations were written on the basis of non-hydrostatic pressure and then the observed results were in accordance with the results of the... 

    Numerical and Analytical Investigation of Unequal Size Droplets Generation Process in Micro and Nano Channels

    , Ph.D. Dissertation Sharif University of Technology Bedram, Ahmad (Author) ; Moosavi, Ali (Supervisor) ; Kazemzadeh Hannani, Siamak (Co-Advisor)
    Abstract
    In this paper, we introduced two methods for producing unequal sized droplet from an initial one that don’t have the disadvantages of the available methods. We developed a comprehensive analytical theory for the T-junction with valve method. Also the geometry was simulated using a VOF algorithm and a comparison was performed between numerical and analytical results and very good agreement was observed. The accuracy of numerical results was confirmed by doing the grid independency and time step independency and comparing the results with two analytical benchmarks. We derived accurate analytical relations for calculating the droplet volume ratio, droplet length (L1, L2 and Lwhole) and pressure... 

    Developing Three Dimensional Model for Delineation of Capture Zone of Multi Wells in Complicated Condition (Skin Effect, Partially Penetrating)

    , M.Sc. Thesis Sharif University of Technology Rashidian dezfouli, Hassan (Author) ; Ataei Ashtiani, Behzad (Supervisor)
    Abstract
    Pump and treat is one of the oldest and mostly used methods in remediation of groundwater. Although this method has been criticized recently, it is still widely be used. The systems typically use one or more extraction and injection wells to hydraulically control the contamination plume. The purpose of studying a pump and treat system is to determine the appropriate location and discharge for the wells in the way that the contamination could be pumped out. In this study after reviewing some existing solutions for delineation the capture zone of single well a method to delineate the capture zone for arbitrary located wells is presented. This method can delineate a three dimensional capture... 

    Time-Dependent Stress of Functionally Graded Rotating Disks

    , M.Sc. Thesis Sharif University of Technology Livani, Mostafa (Author) ; Haddadpoor, Hassan (Supervisor) ; Hoseini Koordkheili, Ali (Supervisor)
    Abstract
    A semi-analytical solution for rotating axisymmetric disks made of functionally graded materials was previously proposed by Hosseini Kordkheili and Naghdabadi [10]. In the present work the solution is employed to study thermoelastic creep behavior of the functionally graded rotating disks with variable thickness in to the time domain. The rate type governing differential equations for the considered structure are derived and analytically solved in terms of rate of stress and strain as a reduced to a set of linear algebraic equations. The advantage of this method is to avoid simplifications and restrictions which are normally associated with other creep solution techniques in the literature.... 

    Analytical Solution to Bending of Shape Memory Polymer Beams

    , M.Sc. Thesis Sharif University of Technology Mohammadi, Hadi (Author) ; Naghdabadi, Reza (Supervisor) ; Baghani, Mostafa (Co-Advisor)
    Abstract
    Shape Memory Polymers (SMPs) are a class of smart materials capable of remembering multiple shapes, and transitioning between them in response to an external stimulus such as thermal or magnetic induction. SMPs have attracted significant attention of both industrial and academic researchers due to their useful and attractive functionality. This thesis aims to analytically develop Euler-Bernoulli, Timoshenko and von Karman theories for beam bending in small strain regime considering SMP constitutive equations. To properly introduce analytical solution for the problem of beam bending, the constitutive model proposed by Baghani et al. (2012) has been used. For this purpose, three dimensional... 

    Buckling and Free Vibration Analysis of Joined Conical Shells Using Analytical Methods

    , Ph.D. Dissertation Sharif University of Technology Shakouri, Meisam (Author) ; Kouchakzadeh, Mohammad Ali (Supervisor)
    Abstract
    In the present study, buckling and free vibration of two joined conical shells made from isotropic and generally laminated composites are presented. The joined conical shells can be considered as the general case that can be used in analysis of single cylindrical and conical shells, joined cylindrical-conical shells, joined cylinder-plates or cone-plates, cylindrical and conical shells with stepped thicknesses, annular plates, laminates with ply drop-off or any case that the stiffness of the laminate changes in the shell. Governing equations are obtained using thin-walled shallow shell theory of Donnell type and Hamilton’s principle. The joining of shells is exerted using various methods and... 

    An Analytical Study of The Pem Fuel Cell

    , M.Sc. Thesis Sharif University of Technology Raissi, Porya (Author) ; Nouri Borujerdi, Ali (Supervisor)
    Abstract
    In this thesis, the quasi-two-dimensional modeling of polymer electrolyte membrane fuel cell cathode side is presented as a single phase. Polymer membrane fuel cell modeling equations are solved in the equations of continuity, momentum, and chemical species are potential equation. In this report, for modeling the electrochemical reaction in the catalyst layer of the relationship Baltr-Vollmer is used. The present analytical solution based on two fixed pressure gradient and the velocity dependent pressure gradient is developed. Momentum and continuity equations in the model with separation, velocity and pressure field is achieved. By comparing the results of the modeling analysis with... 

    Analytical and Numerical Solution and a Multi-Objective Optimization for Auxetic Stents with Various Geometries

    , M.Sc. Thesis Sharif University of Technology Behinfar, Parsa (Author) ; Nourani, Amir (Supervisor)
    Abstract
    The present study examines the mechanical properties of auxetic stents with various types of structures. Geometries was parametrically modeled and the design of experiments (DOE) was developed by defining the elastic properties of the stents and using the response surface method (RSM). Finite element (FE) analysis was performed in order to find a polynomial relationship between the geometric parameters as inputs and the elastic parameters as the outputs. Then, the optimal stent was obtained in terms of elasticity parameters by using RSM and NSGA-II methods and the two-dimensional Pareto front was plotted. For instance, the optimal parameters of the Re-entrant stent including flexural... 

    Nonlinear bending of functionally graded tapered beams subjected to thermal and mechanical loading

    , Article International Journal of Non-Linear Mechanics ; Vol. 65, issue , October , 2014 , p. 141-147 Niknam, H ; Fallah, A ; Aghdam, M. M ; Sharif University of Technology
    Abstract
    Non-linear bending analysis of tapered functionally graded (FG) beam subjected to thermal and mechanical load with general boundary condition is studied. The governing equations are derived and a discussion is made about the possibility of obtaining analytical solution. In the case of no axial force along the beam, a closed form solution is presented for the problem. For the general case with axial force, the Galerkin technique is employed to overcome the shortcoming of the analytical solution. Moreover, the Generalized Differential Quadrature (GDQ) method is also implemented to discretize and solve the governing equations in the general form and validate the results obtained from two other... 

    Free vibration analysis of moderately thick functionally graded plates on elastic foundation using the extended Kantorovich method

    , Article Archive of Applied Mechanics ; Volume 83, Issue 2 , February , 2013 , Pages 177-191 ; 09391533 (ISSN) Fallah, A ; Aghdam, M. M ; Kargarnovin, M. H ; Sharif University of Technology
    2013
    Abstract
    Free vibration analysis of moderately thick rectangular FG plates on elastic foundation with various combinations of simply supported and clamped boundary conditions are studied. Winkler model is considered to describe the reaction of elastic foundation on the plate. Governing equations of motion are obtained based on the Mindlin plate theory. A semi-analytical solution is presented for the governing equations using the extended Kantorovich method together with infinite power series solution. Results are compared and validated with available results in the literature. Effects of elastic foundation, boundary conditions, material, and geometrical parameters on natural frequencies of the FG... 

    Nonlinear analysis of chatter in turning process using dimensionless groups

    , Article Journal of the Brazilian Society of Mechanical Sciences and Engineering ; Volume 37, Issue 4 , July , 2015 , Pages 1151-1162 ; 16785878 (ISSN) Tavari, H ; Jalili, M. M ; Movahhedy, M. R ; Sharif University of Technology
    Springer Verlag  2015
    Abstract
    A new 3-D nonlinear model of chatter vibration in turning process is presented in this paper. The workpiece is modeled as a rotating clamped-free beam which is excited by cutting forces. π-Buckingham theory is used to extract dimensionless parameters for this problem. Using these parameters, non-dimensional equations of motion are developed. An approximate analytical solution of the nonlinear problem is obtained. A study of the influence of different parameters on the stability results is developed. Using these results, turning velocity intervals for stable and unstable cuts are determined  

    Clearance effects on dynamic behavior of a continuous mechanical system

    , Article JVC/Journal of Vibration and Control ; Volume 21, Issue 13 , October , 2015 , Pages 2509-2519 ; 10775463 (ISSN) Hosseini Kordkheili, S. A ; Momeni Massouleh, S. H ; Khorasani, R ; Sharif University of Technology
    SAGE Publications Inc  2015
    Abstract
    An analytical modified method is presented to investigate the clearance effects on the dynamic behavior of cantilever beams. In this work, apart from clearance, all other nonlinearities are avoided to be considered during the analytical solution. The beam is idealized using an equivalent single-degree-of-freedom structure. A tri-linear stiffness system is also adopted to simulate the beam together with the clearance. Subsequently the analytical solution is derived for a cantilever beam structure with and without considering structural damping. The experimental method is employed to verify the results from the presented analytical solutions. It is noted that the results obtained by the... 

    Analytical solution for penetration of deformable blunt projectiles into the metallic targets

    , Article Mechanika ; Volume 82, Issue 2 , 2010 , Pages 5-13 ; 13921207 (ISSN) Radmehr, D ; Liaghat, G. H ; Felli, S ; Naderi, D ; Sharif University of Technology
    2010
    Abstract
    At the present research, a new analytical model is developed for the impact of a deformable blunt projectile to metallic targets using the plastic stress wave propagation theory and the momentum equations. At this model, the deformation of the projectile is considered, too. Also, the effects of dishing and plugging phenomena on failure of the target are investigated. All of the obtained results are compared with the experimental and other available analytical results where good agreement has been observed. The other outcome of this research is a new definition for the penetration stages which includes 9 ones. Motion equations are derived for each of these stages, accordingly  

    Formation of hotspots in partially filled ferrite-loaded rectangular waveguides

    , Article Journal of Applied Physics ; Volume 122, Issue 23 , 2017 ; 00218979 (ISSN) Marvasti, M ; Rejaei, B ; Sharif University of Technology
    Abstract
    We theoretically investigate the formation of hotspots at microwave frequencies in a partially filled, ferrite-loaded rectangular waveguide. When the unidirectional mode of this waveguide approaches an impenetrable conducting barrier, its magnetic field rises sharply due to the absence of reflection. To study this phenomenon, we use the magnetostatic approximation and derive a surface integral equation for the normal component of magnetic flux density on the surface of the ferrite layer. For a half-filled waveguide, an analytic solution is found, which shows the magnetic field to diverge near the barrier as | x | - q, where | x | is the distance from the barrier edge and q is slightly less... 

    Analytical structural behaviour of elastic flapping wings under the actuator effect

    , Article Aeronautical Journal ; Volume 122, Issue 1254 , 2018 , Pages 1176-1198 ; 00019240 (ISSN) Zare, H ; Pourtakdoust, S. H ; Bighashdel, A ; Sharif University of Technology
    Cambridge University Press  2018
    Abstract
    The effect of inertial forces on the Structural Dynamics (SD) behaviour of Elastic Flapping Wings (EFWs) is investigated. In this regard, an analytical modal-based SD solution of EFW undergoing a prescribed rigid body motion is initially derived. The formulated initial-value problem is solved analytically to study the EFW structural responses, and sensitivity with respect to EFWs' key parameters. As a case study, a rectangular wing undergoing a prescribed sinusoidal motion is simulated. The analytical solution is derived for the first time and helps towards a conceptual understanding of the overall EFW's SD behaviour and its analysis required in their designs. Specifically, the EFW transient... 

    An embedded elliptic nano-fiber in anti-plane strain couple stress elasticity

    , Article 2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008, Boston, MA, 31 October 2008 through 6 November 2008 ; Volume 13, Issue PART A , 2009 , Pages 145-152 ; 9780791848746 (ISBN) Mohamadi Shodja, H ; Haftbaradaran, H ; Sharif University of Technology
    2009
    Abstract
    The application of higher order continuum theories, with size effect considerations, have recently been spread in the micro and nano-scale studies. One famous version of these theories is the couple stress theory. This paper utilizes this theory to study the anti-plane problem of an elliptic nano-fiber, embedded in an infinite medium, both made of centrosymmetric isotropic material. In this framework, a characteristic length appears in the formulation, by which examination of the size effect is possible. This work presents an analytical solution for the proposed problem. Copyright © 2008 by ASME  

    Electrical analogies applied on MMR micropump

    , Article Sensors and Actuators, A: Physical ; Volume 301 , 2020 Karmozdi, M ; Afshin, H ; Shafii, M. B ; Sharif University of Technology
    Elsevier B.V  2020
    Abstract
    Micropumps are among useful equipment in microsystems. The magnetically actuated mercury micropump, which has been introduced for less than a decade, is an innovative kind of micropumps which uses mercury droplets motion as a pumping agent. The equations governing this micropump are complex and their numerical solution is a time-consuming process, due to electromagnetic, hydrodynamic, and unsteady effects. In the present study, for the first time, using simplifying assumptions, the performance of a Magneto Mercury Reciprocating (MMR) micropump with electromagnetic actuation is studied through electrical analogy and then, the components and operational stages of the micropump are simulated... 

    A new double-counting cancellation technique for ray tracing using separation angle distribution

    , Article 2008 IEEE International RF and Microwave Conference, RFM 2008, Kuala Lumpur, 2 December 2008 through 4 December 2008 ; April , 2008 , Pages 306-310 ; 9781424428663 (ISBN) Mohtashami, V ; Shishegar, A. A ; Sharif University of Technology
    2008
    Abstract
    This paper presents a new efficient and accurate method to overcome the double-counting problem of ray tracing in indoor environments. The conventional method of modeling the transmitter using an icosahedron inscribed in the unit sphere is used. The separation angle distribution of the source rays over the faces of the icosahedron is calculated prior to the start of the tracing procedure. These angles are used to cancel the double-counting problem in the post processing stage. To validate our proposed method, an electromagnetic problem that has analytical solution is presented and the ray tracing results are compared to this solution. The simulation results agree with analytical solution... 

    Vibration performance of a two-stage turbine rotor

    , Article 44th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Hartford, CT, 21 July 2008 through 23 July 2008 ; 2008 ; 9781563479434 (ISBN) Darvishzadeh, T ; Yaghoubi, V ; Sharif University of Technology
    2008
    Abstract
    In this paper, the rotation of a two-stage turbine rotor is studied. The goal of this article is to present a practical understanding of terminology and behavior based in visualizing how a shaft vibrates, and examining issues that affect vibration. Analytical solutions to predict critical speeds are developed with the aid of the Lagrange method and the Modal analysis. Results are given in tables and diagrams. The matrix solution showed that the critical speeds change as the rotating speed of the shaft increases. It was inferred from the results that even new critical speeds could be generated. Due to the gyroscopic effects, the rotor undergoes some precession which is indicated by the...