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    Wyświetlanie 1-14 z 14
    Tytuł:
    The onset of thermal convection in couple-stress fluid in hydromagnetics saturating a porous medium
    Autorzy:
    Rana, G. C.
    Powiązania:
    https://bibliotekanauki.pl/articles/201216.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    couple stress fluid
    magnetic field
    porous medium
    thermal convection
    Opis:
    In this paper, the effect of magnetic field on thermal convection in couple-stress fluid saturating a porous medium is considered. By applying linear stability theory and the normal mode analysis method, a mathematical theorem is derived which states that the viscoelastic thermal convection at marginal state, cannot manifest as stationary convection if the thermal Rayleigh number R, the medium permeability parameter Pι the couple-stress parameter F and the Chandrasekher number Q, satisfy the inequality R ≤4π2/Pl (1 + 2π2F + PlQ/2ε) the result clearly establishes the stabilizing character of couple-stress parameter and magnetic field whereas destabilizing character of medium permeability.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 2; 357-362
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Review of applied mathematical models for describing the behaviour of aqueous humor in eye structures
    Autorzy:
    Dzierka, M.
    Jurczak, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/265906.pdf
    Data publikacji:
    2015
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    porous medium
    Newtonian fluid
    non-Newtonian fluid
    couple stress fluid
    generalized second grade fluid
    Darcy’s rule
    aqueous humor flow
    intraocular pressure
    glaucoma
    porowatość
    płyn nienewtonowski
    jaskra
    ciśnienie wewnątrzgałkowe
    Opis:
    In the paper, currently used methods for modeling the flow of the aqueous humor through eye structures are presented. Then a computational model based on rheological models of Newtonian and non-Newtonian fluids is proposed. The proposed model may be used for modeling the flow of the aqueous humor through the trabecular meshwork. The trabecular meshwork is modeled as an array of rectilinear parallel capillary tubes. The flow of Newtonian and non-Newtonian fluids is considered. As a results of discussion mathematical equations of permeability of porous media and velocity of fluid flow through porous media have been received.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2015, 20, 4; 757-772
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Effect of hall currents on thermal instability of dusty couple stress fluid
    Autorzy:
    Aggarwal, A. K.
    Verma, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/240229.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    couple-stress fluid
    dust particles
    hall currents
    stationary convection
    oscillatory modes
    magnetic field
    ziarna pyłu
    konwekcja
    pole magnetyczne
    Opis:
    In this paper, effect of Hall currents on the thermal instability of couple-stress fluid permeated with dust particles has been considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For the case of stationary convection, dust particles and Hall currents are found to have destabilizing effect while couple stresses have stabilizing effect on the system. Magnetic field induced by Hall currents has stabilizing/destabilizing effect under certain conditions. It is found that due to the presence of Hall currents (hence magnetic field), oscillatory modes are produced which were non-existent in their absence.
    Źródło:
    Archives of Thermodynamics; 2016, 37, 3; 3-18
    1231-0956
    2083-6023
    Pojawia się w:
    Archives of Thermodynamics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Magneto-rotatory compressible couple-stress fluid heated from below in porous medium
    Autorzy:
    Mehta, C. B.
    Powiązania:
    https://bibliotekanauki.pl/articles/178540.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    compressible couple-stress fluid
    thermal convection
    porous medium
    rotation
    magnetic field
    Opis:
    The study is aimed at analysing thermal convection in a compressible couple stress fluid in a porous medium in the presence of rotation and magnetic field. After linearizing the relevant equations, the perturbation equations are analysed in terms of normal modes. A dispersion relation governing the effects of rotation, magnetic field, couple stress parameter and medium permeability have been examined. For a stationary convection, the rotation postpones the onset of convection in a couple stress fluid heated from below in a porous medium in the presence of a magnetic field. Whereas, the magnetic field and couple stress postpones and hastens the onset of convection in the presence of rotation and the medium permeability hastens and postpones the onset of convection with conditions on Taylor number. Further the oscillatory modes are introduced due to the presence of rotation and the magnetic field which were non-existent in their absence, and hence the principle of exchange stands valid. The sufficient conditions for nonexistence of over stability are also obtained.
    Źródło:
    Studia Geotechnica et Mechanica; 2016, 38, 1; 55-63
    0137-6365
    2083-831X
    Pojawia się w:
    Studia Geotechnica et Mechanica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Numerical simulation of flow and heat transfer in hydromagnetic micropolar fluid between two stretchable disks with viscous dissipation effects
    Autorzy:
    Ali, K.
    Ahmad, S.
    Ashraf, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/279778.pdf
    Data publikacji:
    2016
    Wydawca:
    Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Tematy:
    MHD
    micropolar fluid
    stretchable disk
    viscous dissipation
    couple stress
    heat transfer rate
    Opis:
    A study of magnetohydrodynamic (MHD) flow with viscous dissipation and heat transfer in an electrically conducting laminar steady viscous incompressible micropolar fluid between two infinite uniformly stretching disks is presented. The transformed self similar nonlinear ODEs are first linearized using a quasi linearization method and then solved by employing a combination of a direct and an iterative method. The study may be beneficial to flow and thermal control of polymeric processing.
    Źródło:
    Journal of Theoretical and Applied Mechanics; 2016, 54, 2; 633-643
    1429-2955
    Pojawia się w:
    Journal of Theoretical and Applied Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Transport of MHD couple stress fluid through peristalsis in a porous medium under the influence of heat transfer and slip effects
    Autorzy:
    Sankad, G. C.
    Nagathan, P. S.
    Powiązania:
    https://bibliotekanauki.pl/articles/266102.pdf
    Data publikacji:
    2017
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    peristaltic flow
    couple stress fluid
    Darcy number
    slip parameter
    compliant walls
    przepływ perystaltyczny
    liczba Darcy'ego
    parametr poślizgu
    Opis:
    An attempt has been made to examine the effects of magnetohydrodynamic couple stress fluid in peristaltic flow with porous medium under the impact of slip, heat transfer and wall properties. The expressions are obtained for temperature, coefficient of heat transfer and velocity. Influences of different parameters, the Hartmann number, Brinkman number and adaptability parameters on the temperature and warmth trade coefficient are discussed through outlines.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2017, 22, 2; 403-414
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Compressible analysis of Bénard convection of magneto rotatory couple-stress fluid
    Autorzy:
    Mehta, C. B.
    Singh, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/264669.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    konwekcja termiczna
    pole magnetyczne
    rotacja
    ściśliwość
    couple-stress fluid
    compressibility
    rotation
    magnetic field
    thermal convection
    Opis:
    Thermal Instability (Benard’s Convection) in the presence of uniform rotation and uniform magnetic field (separately) is studied. Using the linearized stability theory and normal mode analyses the dispersion relation is obtained in each case. In the case of rotatory Benard’s stationary convection compressibility and rotation postpone the onset of convection whereas the couple-stress have duel character onset of convection depending on rotation parameter. While in the absence of rotation couple-stress always postpones the onset of convection. On the other hand, magnetic field on thermal instability problem on couple-stress fluid for stationary convection couple-stress parameter and magnetic field postpones the onset of convection. The effect of compressibility also postpones the onset of convection in both cases as rotation and magnetic field. Graphs have been plotted by giving numerical values to the parameters to depict the stationary characteristics. Further, the magnetic field and rotation are found to introduce oscillatory modes which were non-existent in their absence and then the principle of exchange of stability is valid. The sufficient conditions for non-existence of overstability are also obtained.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2018, 23, 1; 91-105
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The effect of the magnetic field on the Rayleigh-Taylor instability in a couple-stress fluid
    Autorzy:
    Chavaraddi, K. B.
    Awati, V. B.
    Nandeppanavar, M. M.
    Gouder, P. M.
    Powiązania:
    https://bibliotekanauki.pl/articles/264667.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    pole magnetyczne
    materiały porowate
    szybkość wzrostu
    RTI
    couple-stress fluid
    magnetic field
    porous media
    growth rate
    Opis:
    In this study we examine the effect of the magnetic field parameter on the growth rate of the Rayleigh-Taylor instability (RTI) in a couple stress fluids. A simple theory based on fully developed flow approximations is used to derive the dispersion relation for the growth rate of the RTI. The general dispersion relation obtained using perturbation equations with appropriate boundary conditions will be reduced for the special cases of propagation and the condition of instability and stability will be obtained. In solving the problem of the R-T instability the appropriate boundary conditions will be applied. The couple-stress parameter is found to be stabilizing and the influence of the various parameters involved in the problem on the interface stability is thoroughly analyzed. The new results will be obtained by plotting the curves between the dimensionless growth rate and the dimensionless wave number for various physical parameters involved in the problem (viz. the magnetic field, couple-stress, porosity, etc.) in the problem. It is found that the magnetic field and couple-stress have a stabilization effect whereas the buoyancy force (surface tension) has a destabilization effect on the RT instability in the presence of porous media.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2018, 23, 3; 611-622
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Mixed convective flow of unsteady hydromagnetic couple stress fluid through a vertical channel filled with porous medium
    Autorzy:
    Makhalemele, C. R.
    Rundora, L.
    Adesanya, S. O.
    Powiązania:
    https://bibliotekanauki.pl/articles/1839697.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    konwekcja mieszana
    magnetohydrodynamika
    przepływ oscylacyjny
    couple stress fluid
    mixed convection
    magnetohydrodynamics
    oscillatory flow
    Opis:
    In this paper, the mixed convective flow of an electrically conducting, viscous incompressible couple stress fluid through a vertical channel filled with a saturated porous medium has been investigated. The fluid is assumed to be driven by both buoyancy force and oscillatory pressure gradient parallel to the channel plates. A uniform magnetic field of strength 0B is imposed transverse to the channel boundaries. The temperature of the right channel plate is assumed to vary periodically, and the temperature difference between the plates is high enough to induce radiative heat transfer. Under these assumptions, the equations governing the two-dimensional couple stress fluid flow are formulated and exact solutions of the velocity and the temperature fields are obtained. The effects of radiation, Hall current, porous medium permeability and other various flow parameters on the flow and heat transfer are presented graphically and discussed extensively.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2020, 25, 4; 148-161
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Effects of stenosis and dilatation on flow of blood mixed with suspended nanoparticles: a study using homotopy technique
    Autorzy:
    Sudha, T.
    Umadevi, C.
    Dhange, M.
    Manna, S.
    Misra, J. C.
    Powiązania:
    https://bibliotekanauki.pl/articles/1839885.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    przepływ krwi
    zwężenie tętnicy
    ciśnienie krwi
    stenosis
    dilatation
    couple stress fluid
    impedance
    shear stress
    Opis:
    The paper deals with a theoretical study on blood flow in a stenosed segment of an artery, when blood is mixed with nano-particles. Blood is treated here as a couple stress fluid. Stenosis is known to impede blood flow and to be the cause of different cardiac diseases. Since the arterial wall is weakened due to arterial stenosis, it may lead to dilatation /aneurysm. The homotopy perturbation technique is employed to determine the solution to the problem for the case of mild stenosis. Analytical expressions for velocity, shear stress at the wall, pressure drop, and flow resistance are derived. The impact of different physical constants on the wall shear stress and impedance of the fluid is examined by numerical simulation. Streamline patterns of the nanofluid are investigated for different situations.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2021, 26, 1; 251-265
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An analytical study of couple stress fluid through a sphere with an influence of the magnetic field
    Autorzy:
    Krishna Prasad, Madasu
    Sarkar, Priya
    Powiązania:
    https://bibliotekanauki.pl/articles/2202037.pdf
    Data publikacji:
    2022
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    creeping flow
    sphere
    magnetic effect
    couple stress fluid
    drag
    przepływ pełzający
    kula
    efekt magnetyczny
    Opis:
    The present work concerns to study of the steady, axisymmetric slow flow of couple stress fluid through a rigid sphere in the transverse magnetic field. Boundary conditions on the sphere surface are the zero couple stress condition and tangential slip condition. The stream function, vorticity vector, and pressure term are obtained. The drag acting on the sphere in the presence of MHD is calculated. Here, we graphically represented the Hartmann number, couple stress, and slip parameters effect on the drag coefficient. Some well-known results of the drag are deduced.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 3; 99--110
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Couple stress fluid past a sphere embedded in a porous medium
    Autorzy:
    Madasu, Krishna Prasad
    Sarkar, Priya
    Powiązania:
    https://bibliotekanauki.pl/articles/2065761.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    sphere
    couple stress fluid
    saturated porous medium
    Brinkman’s equation
    drag force
    kula
    równanie Brinkmana
    siła tarcia
    Opis:
    This paper concerns the analytical investigation of the axisymmetric and steady flow of incompressible couple stress fluid through a rigid sphere embedded in a porous medium. In the porous region, the flow field is governed by Brinkman’s equation. Here we consider uniform flow at a distance from the sphere. The boundary conditions applied on the surface of the sphere are the slip condition and zero couple stress. Analytical solution of the problem in the terms of stream function is presented by modified Bessel functions. The drag experienced by an incompressible couple stress fluid on the sphere within the porous medium is calculated. The effects of the slip parameter, the couple stress parameter, and permeability on the drag are represented graphically. Special cases of viscous flow through a sphere are obtained and the results are compared with earlier published results.
    Źródło:
    Archive of Mechanical Engineering; 2022, LXIX, 1; 5--19
    0004-0738
    Pojawia się w:
    Archive of Mechanical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On a couple-stress Rivlin-Ericksen ferromagnetic fluid heated from below with varying gravity, rotation, magnetic field and suspended particles flowing through a porous medium
    Autorzy:
    Rahul
    Sharma, Naveen
    Powiązania:
    https://bibliotekanauki.pl/articles/2174204.pdf
    Data publikacji:
    2022
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    niestabilność termiczna
    pole magnetyczne
    płyn ferromagnetyczny
    naprężenie
    thermal instability
    magnetic field
    couple-stress fluid
    ferromagnetic fluid
    suspended particles
    Opis:
    The thermal instability of a couple-stress Rivlin-Ericksen ferromagnetic fluid with varying gravity field, suspended particles, rotation and magnetic field flowing through a porous medium is investigated. The dispersion relation has been developed and solved analytically using the normal mode approach and linear stability theory. The effect of suspended particles, rotation, couple stress, permeability and magnetic field on the fluid layer has been investigated. For stationary conventions, it is found that suspended particles always have a destabilizing effect for λ>0 and a stabilizing effect for λ<0 and couple-stress, magnetic field and permeability of the medium have a stabilizing effect on the thermal instability under certain conditions. In the absence of the rotation couple-stress has a stabilizing effect if λ >0 and a destabilizing effect if λ<0. Rotation has a stabilizing effect if λ >0 and a destabilizing effect if λ<0. In the absence of rotation permeability has a stabilizing effect if λ<0 and a destabilizing effect if λ>0. Magnetisation always has a stabilizing effect ( λ>0 or λ<0).
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2022, 27, 2; 177--198
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Slow flow of couple stress fluid past a cylinder embedded in a porous medium: slip effect
    Autorzy:
    Sarkar, Priya
    Madasu, Krishna Prasad
    Powiązania:
    https://bibliotekanauki.pl/articles/38911649.pdf
    Data publikacji:
    2023
    Wydawca:
    Instytut Podstawowych Problemów Techniki PAN
    Tematy:
    couple stress fluid
    cylinder
    Brinkman’s equation
    saturated porous medium
    slip coefficients
    drag force
    Opis:
    An analytical study for the creeping flow of a couple stress fluid past a cylinder embedded in a porous medium is presented using the slip condition. The uniform flow is considered far away from a cylinder. The boundary conditions used are zero couple stress and tangential slip conditions. The modified Bessel functions represent the stream function (the velocity). The drag exerted on a solid cylinder immersed in a porous medium is derived. The impacts of the couple stress, permeability, and slip parameters on the normalized drag force are presented graphically. The drag forces of well-known exceptional cases are reduced. The drag force is a decreasing function of the permeability and couple stress parameters and an increasing function of the slip parameter.
    Źródło:
    Engineering Transactions; 2023, 71, 4; 537-551
    0867-888X
    Pojawia się w:
    Engineering Transactions
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-14 z 14

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