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1

Reactive solute transport in blood flow through a permeable capillary

Debnath S., Roy A. K., Bég O. A.

Archives of Mechanics

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2022

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Vol. 74, nr 2-3

173--200

EN

The present analysis discusses the solute transport process in a steady 2D (axial and radial) laminar flow of blood through a permeable, finite length capillary. Blood is treated as a homogeneous Newtonian fluid and the solute is absorbed at the capillary wall with a linear irreversible reaction rate. The velocity profile is obtained by a regular perturbation technique, whereas the transport coefficients depicted by the Gill generalized dispersion model are solved numerically. A number of different scenarios are considered, namely transport with no-reaction, weak absorption, strong absorption, low filtration or high filtration, etc. In the initial stages, the temporal behaviour of the dispersion coefficient is identical to those cases when there is no radial velocity. For the combined effect of radial and axial velocities, however, the dispersion coefficient is lower for a high absorption rate than for a weak absorption rate. Diffusion is accelerated with higher values of filtration coefficient. Owing to the opposite effects of radial diffusion and radial velocity, the solute particles require more time to reach the steady state. The analysis finds applications in, for example, reactive nutrient and pharmacological transport in capillary hemodynamics.

2

Slowly vibrating axially symmetric bodies-transverse flow

Srivastava D. K.

International Journal of Applied Mechanics and Engineering

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2021

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Vol. 26, no. 1

226--250

EN

Stokes drag on axially symmetric bodies vibrating slowly along the axis of symmetry placed under a uniform transverse flow of the Newtonian fluid is calculated. The axially symmetric bodies of revolution are considered with the condition of continuously turning tangent. The results of drag on sphere, spheroid, deformed sphere, egg-shaped body, cycloidal body, Cassini oval, and hypocycloidal body are found to be new. The numerical values of frictional drag on a slowly vibrating needle shaped body and flat circular disk are calculated as particular cases of deformed sphere.

3

Dynamics and stability of a flexible, slender cylinder flexibly restrained at one end a free at the other and subjected to axial flow

Kheiri M.

Archive of Mechanical Engineering

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2016

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Vol. LXIII, nr 3

379--396

EN

In this paper, Lagrange’s equations along with the Ritz method are used to obtain equation of motion for a flexible, slender cylinder subjected to axial flow. The cylinder is supported only by a translational and a rotational spring at the upstream end, and at the free end, it is terminated by a tapering end-piece. The equation of motion is solved numerically for a system in which the translational spring is infinitely stiff, thus acting as a pin, while the stiffness of the rotational spring is generally non-zero. The dynamics of such a system with the rotational spring of an average stiffness is described briefly. Moreover, the effects of the length of the cylinder and the shape of the end-piece on the critical flow velocities and the modal shapes of the unstable modes are investigated.

PL

W pracy zastosowano równania Lagrange’a i metodę Ritza by uzyskać równania ruchu giętkiego, smukłego cylindra poddanego działaniu przepływu osiowego. Cylinder umocowany od strony dopływu za pomocą sprężyn translacyjnej i rotacyjnej ma drugi koniec swobodny ze zbieżną końcówką. Równanie ruchu jest rozwiązane numerycznie dla systemu, w którym sprężyna translacyjna ma nieskończoną sztywność i zachowuje się jak kołek, podczas gdy sztywność sprężyny rotacyjnej jest generalnie różna od zera. Opisano krótko dynamikę takiego systemu ze sprężyną rotacyjną o średniej sztywności. Ponadto, badano zależności między długością cylindra i kształtem końcówki a krytycznymi prędkościami przepływu i rozkładami modów niestabilnych.

4

Steady Oseen’s flow past a deformed sphere: an analytical approach

Srivastava D. K., Yadav R. R., Yadav S.

Journal of Theoretical and Applied Mechanics

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2013

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Vol. 51 nr 3

661--673

EN

In a recent authors’ paper, the general expression of Stokes drag experienced by a deformed sphere in both longitudinal and transverse flow situations was calculated in terms of the deformation parameter up to the second order. In this paper, Oseen’s correction to the axial Stokes drag on the deformed sphere is presented by using Brenner’s formula in general, first and then applied to prolate and oblate the deformed spheroid up to the second order of the deformation parameter. Numerical values of Oseen’s correction is obtained with respect to the deformation parameter and Reynolds number. The corresponding variations are depicted in figures. Some particular cases of a needle shaped body and flat circular disk are considered and found to be in good agreement with those existing in the literature. The import ant applications are also highlighted.

5

Liquid Flow Parameters at the Outlet of the Formed Suction Intake with a Rib

Błaszczyk A., Papierski A., Kunicki R., Susik M.

Mechanics and Mechanical Engineering

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2012

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Vol. 16, nr 2

91--116

EN

The article presents a procedure and the chosen results of numerical computations of liquid flow parameters, which use the data from their measurements realized on the test stand,for the model of formed suction intake with a rib, supplied by the screened open wet well. Comparative analysis of numerical computations and these determined by measurements, did concern the standard [1] flow acceptance criteria.

6

Prediction of drop size distributions in stirred tanks equipped with radial and axial flow impellers

Podgórska W.

Chemical and Process Engineering

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2009

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Vol. 30, z. 1

181-197

EN

The influence of impeller type on the behaviour of droplets with partially mobile and immobile drop interfaces is considered. It is shown that in the case of pure breakage as well as during breakage and coalescence of droplets with immobile interfaces smaller drops are produced by pitched blade turbine than by Rushton turbine when the power input per unit mass is the same.

PL

Badano wpływ typu mieszadła na rozkład wielkości kropel w układzie ciecz.ciecz charakteryzującym się małą lepkością fazy rozproszonej. Pokazano, że zarówno w przypadku rozpadu kropel w dużej dyspersji, jak i jednoczesnego rozpadu i koalescencji kropel z nieruchomą powierzchnią mniejsze krople są wytwarzane w zbiorniku zaopatrzonym w mieszadło z pochylonymi łopatkami niż w turbinę Rushtona w przypadku zachowania jednakowej mocy włożonej na jednostkę masy.

7

Nieliniowy model linii nośnej dla wirnika w przepływie osiowym

Strzelczyk P.

Prace Instytutu Lotnictwa

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2006

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Nr 1-2 (184-185)

77-82

PL

W artykule przedstawiono pewną modyfikację modelu linii nośnej w zastosowaniu do śmigieł i wirników nośnych pracujących przepływie osiowym. W odróżnieniu od tradycyjnej teorii linii nośnej model ten nie zawiera ograniczeń ze względu na kąty natarcia i wartości prędkości indukowanych. Jest to możliwe dzięki przedstawieniu charakterystyki nośności w formie iloczynu dwóch funkcji: Cz = a0f(Ma, a) sin (a- 0CQ) Opis ten pozwala na linearyzację całkowego równania linii nośnej, o ile znany jest kształt śladu wirowego w przypadku nieznanej formy śladu wirowego jego kształt wyznacza się iteracjnie korzystając z prawa Biota-Savarta, natomiast w przypadku wirników słabo obciążonych prędkości indukowane mogą być wyznaczone za pomocą tzw. asymptotycznych współczynników Lerbsa. W prezentowanej pracy przedstawiono porównanie wyników obliczeń z dostępnymi danymi doświadczalnymi.

EN

Introduced is a modification to a lifting linę model with application to propellers and main rotors working in axial flow. As a difference from traditional lifting linę theory, this model does not contain limitations with respect to angles of attack and induced velocity values. This is possible thanks to the introduction of the characteristic of load-carrying ability in the form of a product of two functions: Cz = a0f(Ma, a) sin (a - a0) This description allows for a linearization of the integrated lifting linę equation, as long as the shape of the vortex trail is known. In the case of an unknown form of vortex trail, its shape is determined iteratively using the Biot-Savart law, however in the case of lightly-loaded rotors, induced velocities can be determined with the help of so-called Lerbs' asymptotic coefficients. In the work presented, the comparison of results of calculations with available experimental data is shown.

8

3-D characteristics of turbulent wakes behind rotor of axial flow low speed compressor stage

Witkowski A., Chmielniak T., Strozik M., Majkut M., Żukowski J.

Zeszyty Naukowe. Cieplne Maszyny Przepływowe - Turbomachinery / Politechnika Łódzka

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1999

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nr 115

457--468

EN

The threedimensional unsteady flow field downstream of the rotor in a single-stage low speed axial flow compressor at four operating conditions has been investigated experimentally using both straight and 900 triple split fiber probes with an emphasis on the influence of the compressor load on the rotor wake characteristics. The velocity measurements are decomposed into a time average velocity, a periodic velocity component, and an unresolved velocity component. Results are discussed to understand the flow effect depending on the operation point and particularly near the stability line of a compressor.