By Petr A. Nikrityuk

Combining formerly unconnected computational tools, this monograph discusses the newest uncomplicated schemes and algorithms for the answer of fluid, warmth and mass move difficulties coupled with electrodynamics. It provides the required mathematical historical past of computational thermo-fluid dynamics, the numerical implementation and the appliance to real-world difficulties. specific emphasis is put all through at the use of electromagnetic fields to manage the warmth, mass and fluid flows in melts and on part switch phenomena throughout the solidification of natural fabrics and binary alloys. despite the fact that, the ebook offers even more than formalisms and algorithms; it additionally stresses the significance of excellent, possible and achievable versions to appreciate advanced structures, and develops those in detail.

Bringing computational fluid dynamics, thermodynamics and electrodynamics jointly, it is a helpful resource for fabrics scientists, PhD scholars, sturdy country physicists, approach engineers and mechanical engineers, in addition to teachers in mechanical engineering.

**Read or Download Computational Thermo-Fluid Dynamics: In Materials Science and Engineering PDF**

**Best fluid dynamics books**

**Smart Material Systems: Model Development (Frontiers in Applied Mathematics)**

"The textual content can be utilized because the foundation for a graduate direction in any of numerous disciplines which are serious about shrewdpermanent fabric modeling, together with physics, fabrics technological know-how, electromechanical layout, keep an eye on platforms, and utilized arithmetic. .. [T]his well-written and rigorous textual content might be precious for a person attracted to particular shrewdpermanent fabrics in addition to common modeling and keep an eye on of smart-material habit.

**Gas adsorption equilibria : experimental methods and adsorptive isotherms**

"This e-book is meant to give for the 1st time experimental how to degree equilibria states of natural and combined gases being adsorbed at the floor of stable fabrics. it's been written for engineers and scientists from and academia who're drawn to adsorption-based gasoline separation methods and/or in utilizing gasoline adsorption for characterization of the porosity of strong fabrics.

**Strömungslehre für den Maschinenbau: Technik und Beispiele**

Der Band stellt als Erg? nzung zum eingef? hrten Grundlagenbuch Str? mungslehre eine tiefergehende Behandlung des Vorlesungsstoffes dar. Die Einteilung der Kapitel entspricht im wesentlichen der im Band Grundlagen: Hydrostatik, Kinematik, Impulssatz, NAVIER-STOKES-Bewegungsgleichung, Potential-, Wirbel- und Grenzschichtstr?

**Asymptotic modelling of fluid flow phenomena**

For the fluctuations round the ability yet quite fluctuations, and showing within the following incompressible method of equations: on any wall; at preliminary time, and are assumed identified. This contribution arose from dialogue with J. P. Guiraud on makes an attempt to push ahead our final co-signed paper (1986) and the most concept is to place a stochastic constitution on fluctuations and to spot the big eddies with part of the likelihood house.

- Analytical Imaging Techniques for Soft Matter Characterization
- Phase Transition Dynamics
- Flow Measurement Handbook: Industrial Designs, Operating Principles, Performance, and Applications
- Monte Carlo Methods in Mechanics of Fluid and Gas

**Extra resources for Computational Thermo-Fluid Dynamics: In Materials Science and Engineering**

**Example text**

94) in the case of incompressible ﬂow (r u D 0) with constant electrical conductivity, Eq. 93) can be simpliﬁed (due to Eq. 85)) to the so-called induction equation for incompressible ﬂuids: 1 @B C (u r) B D ∆ 2 B C (B r) u . 95) Note that since B is solenoidal, r (r B) D r 2 B. The induction equation describes the temporal evolution of the magnetic ﬁeld due to advection (u r) B, diffusion ∆ 2 B, and the ﬁeld intensity source (B r) u generated by mechanical stretching of the ﬁeld lines by the velocity ﬁeld.

123) We deﬁne the boundary conditions from the condition of the vanishing of the electric current on the cylinder surfaces. Using Eqs. 120) we have @φ 1 j rDR0 D 0 , @r @φ 1 j zD0,H0 D B0 ωr . 125) On referring to the work of Marty et al. [30] the time-averaged electric current density induced by the RMF ﬂows along a meridional perimeter of a cylinder and rotates with angular velocity ω. 2. It can be seen that the azimuthal Lorentz force is axisymmetric, which is induced by the nonaxisymmetric electric current density and the radial magnetic ﬁeld rotating around the axis of a cylinder of angular velocity ω.

The Inﬂuence of the σ s /σ l Ratio on the Lorentz Force The ﬁrst series of numerical simulations are devoted to the study of the Lorentz force induced by an RMF in a cylindrical cavity whose lower part is solidiﬁed. In particular, we study the inﬂuence of the ratio σ s /σ l on the induced Lorentz force. 5 H0 . The planarity of the solid front (see paragraph “General Formulation”) and identical size of the liquid and solid domains signiﬁcantly simpliﬁes the application of the sharp-interface model.