Some New Parallel Flows in Weakly Conducting Fluids with an Exponentially Decaying Lorentz Force

نویسندگان

  • Asterios Pantokratoras
  • Mehrdad Massoudi
چکیده

We investigate the fully developed flow between two parallel plates and the film flow over a plate in an electrically conducting fluid under the action of a parallel Lorentz force. The Lorentz force varies exponentially in the vertical direction due to low-fluid electrical conductivity and the special arrangement of the magnetic and electric fields at the lower plate. Exact analytical solutions are derived for velocity, flow rate, and wall shear stress at the plates. The velocity results are presented in figures. All these flows are new and are presented for the first time in the literature.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Three Dimensional Non-linear Radiative Nanofluid Flow over a Riga Plate

Numerous techniques in designing zones happen at high temperature and functions under high temperature are in a way that involves non-linear radiation. In weakly conducting fluids, however, the currents induced by an external magnetic field alone are too small, and an external electric field must be applied to achieve an efficient flow control. Gailitis and Lielausis, devised Riga plate to gene...

متن کامل

Investigating Fluid Mixing in Electro-Osmotic Flow Through Passive Micro-Mixers Having Square and Triangle Barriers

Objective: In this article, a numerical study is conducted on mixing of two fluids in the liquid phase with two different concentrations of a chemical species in the electro-osmotic flow. Methods: The base liquid is an electrolyte which flows in a two-dimensional micro-channel having electrically charged walls. Lorentz electric force, which is used as stimulating flow factor, is created by appl...

متن کامل

Investigating Fluid Mixing in Electro-Osmotic Flow Through Passive Micro-Mixers Having Square and Triangle Barriers

Objective: In this article, a numerical study is conducted on mixing of two fluids in the liquid phase with two different concentrations of a chemical species in the electro-osmotic flow. Methods: The base liquid is an electrolyte which flows in a two-dimensional micro-channel having electrically charged walls. Lorentz electric force, which is used as stimulating flow factor, is created by appl...

متن کامل

Electro-magneto-hydrodynamics Flows of Burgers' Fluids in Cylindrical Domains with Time Exponential Memory

This paper investigates the axial unsteady flow of a generalized Burgers’ fluid with fractional constitutive equation in a circular micro-tube, in presence of a time-dependent pressure gradient and an electric field parallel to flow direction and a magnetic field perpendicular on the flow direction. The mathematical model used in this work is based on a time-nonlocal constitutive equation for s...

متن کامل

Traveling Waves of Some Symmetric Planar Flows of Non-Newtonian Fluids

We present some variants of Burgers-type equations for incompressible and isothermal planar flow of viscous non-Newtonian fluids based on the Cross, the Carreau and the power-law rheology models, and on a symmetry assumption on the flow. We numerically solve the associated traveling wave equations by using industrial data and in order to validate the models we prove existence and uniqueness of ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007