1-20 of 100 Search Results for

partial differential equation

Follow your search
Access your saved searches in your account

Would you like to receive an alert when new items match your search?
Close Modal
Sort by
Series: ASM Technical Books
Publisher: ASM International
Published: 01 February 2005
DOI: 10.31399/asm.tb.chffa.t51040091
EISBN: 978-1-62708-300-3
... not considered adequately. In the finite difference method, the derivatives in the governing partial differential equations are written in terms of difference equations. Therefore, for a two-dimensional domain, a grid of cells is placed inside the domain and the differencing approximation applied to each...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 September 2011
DOI: 10.31399/asm.tb.cfw.t52860115
EISBN: 978-1-62708-338-6
... at the center of the winding band. The local α (previously defined) can be better defined taking into account friction on the dome (a much more complicated numerical solution—three nonlinear partial differential equations). This equation is solved down to the inflection point (2/ a = tan 2 (α)) when...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2019
DOI: 10.31399/asm.tb.mfadr7.t91110269
EISBN: 978-1-62708-247-1
... circuit diagram for a structure having a certain capacitance C and a certain resistance R to ground. The current source is the sum of positive ions hitting the structure and of the secondary electrons leaving it. The solution of the corresponding differential equation delivers the voltage U c which...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2018
DOI: 10.31399/asm.tb.aceg.t68410151
EISBN: 978-1-62708-280-8
... calipers 66–69 Parting plane pour, one top feeder Brake master cylinders, partial metal core 67–69 Parting plane pour, one top feeder Differential carriers 60–63 Parting plane pour, top flange ring feeder Tipper cycle planning Table 7.6 Tipper cycle planning Activity Cumulative...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.tb.ssde.t52310011
EISBN: 978-1-62708-286-0
... of electrochemical theory as it pertains to corrosion resistance of stainless steels. The discussion provides an overview of electrochemical reactions, Faraday's law, the Nernst equation, galvanic versus electrochemical cells, corrosion tendency, and Pourbaix diagrams. corrosion stainless steel corrosion...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.tb.ssde.t52310027
EISBN: 978-1-62708-286-0
... and titanium in sulfuric acid plus copper sulfate.Source: Ref 8 . Courtesy of Outukumpu Stainless Fig. 20 Schematic illustration of (a) sample partially immersed in water; (b) resulting polarization behavior for two different passivating alloys (A and B polarization curves) Fig. 21...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.tb.scm.t52870201
EISBN: 978-1-62708-314-0
... Fig. 7.1 Thermoset cure model framework Fig. 7.2 Differential scanning calorimetry curves Fig. 7.3 Temperature effects on curing Fig. 7.4 Dynamic DSC scan comparison. Source: Ref 1 Fig. 7.6 Conceptual exotherm during composite curing Fig. 7.5...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2015
DOI: 10.31399/asm.tb.cpi2.t55030349
EISBN: 978-1-62708-282-2
... in terms of the concentration or partial pressure of dissolved CO 2 in the medium to arrive at a corrosion rate equation that incorporates the order of the reaction and an exponential function that approximates for the temperature dependence of the reaction constant. This corrosion rate equation is given...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.tb.ssde.t52310057
EISBN: 978-1-62708-286-0
... to oxygen addition: (Eq 31) m = N B 0 υ X V m = N C r 0 3 2 X V m Differentiating Eq 31 with time, equating to Eq 3 , and separating variables results in: (Eq 32) X d X = N O s D O υ N B...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.tb.ssde.t52310123
EISBN: 978-1-62708-286-0
... presented. References References 1 Koistinen D.R. , Marburger R.E. , “ A General Equation Prescribing the Extent of the Austenite/Martensite Transformation in Pure Iron ,” Acta Met , Vol 7 , 1959 , p 59 10.1016/0001-6160(59)90170-1 2 http://www.msm.cam.ac.uk/phase-trans/2002...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2019
DOI: 10.31399/asm.tb.mfadr7.t91110506
EISBN: 978-1-62708-247-1
... definition, namely, the definition of the background data pattern. Notice that the algorithm simply specifies data as true or complement, and not as logical ones and zeros. Data can generally be defined as a function of the logical or physical address, and Boolean equations are used to express...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 January 2015
DOI: 10.31399/asm.tb.spsp2.t54410063
EISBN: 978-1-62708-265-5
.... and Marburger R.E. , A General Equation Prescribing the Extent of the Austenite-Martensite Transformation in Pure Iron-Carbon Alloys and Plain Carbon Steels , Acta Metall. , Vol 7 , 1959 , p 59 – 60 10.1016/0001-6160(59)90170-1 5.29 Entwisle A.R. , The Kinetics of Martensite Formation...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2016
DOI: 10.31399/asm.tb.hpcspa.t54460067
EISBN: 978-1-62708-285-3
... for Strain Rates from 10 −4 to 10 6 s −1 , J. Appl. Phys. , Vol 65 ( No. 4 ), 1989 , p 1528 – 1533 10.1063/1.342968 3.12 Zerilli F.J. , Dislocation Mechanics-Based Constitutive Equations , Metall. Mater. Trans. A , Vol 35 ( No. 9 ), 2004 , p 2547 – 2555 10.1007/s11661-004-0201-x...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2018
DOI: 10.31399/asm.tb.aceg.t68410247
EISBN: 978-1-62708-280-8
... Pistons Gravity permanent mold casting 336 T4, 390 T5 Transmission cases Die casting A 380, 383, 381 Intake manifolds Green sand casting, air set sand casting, gravity permanent mold casting, low pressure permanent mold casting plus air set sand casting B 319 Differential carriers Semi...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2018
DOI: 10.31399/asm.tb.aceg.t68410103
EISBN: 978-1-62708-280-8
... sections Fan/tangential gates into flange or rim. Large box sections gated from two perpendicular sides Oil pans, engine front covers, crankcases Housings Through body sections Ring gated from one end, and supported by side gates into flange Differential carrier housings, transmission housings...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 January 2015
DOI: 10.31399/asm.tb.spsp2.t54410099
EISBN: 978-1-62708-265-5
... to as the B S temperature, and several empirical equations that show the effect of alloying elements on B S have been determined ( Ref 6.5 ). Steven and Hayes ( Ref 6.8 ) established the following equation for B S as a function of composition (in wt%) for hardenable low-alloy steels containing from 0.1...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 September 2008
DOI: 10.31399/asm.tb.fahtsc.t51130177
EISBN: 978-1-62708-284-6
... partial melting carbon content grain size internal oxidation MANY COMPONENTS, such as fasteners, crankshafts, camshafts, bearings, and others, require a differentiated response of the surface and core to external loading. This can be accomplished by surface (case) hardening methods...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2003
DOI: 10.31399/asm.tb.cfap.t69780115
EISBN: 978-1-62708-281-5
.../min) −0.39 at 10 °C/min (18 °F/min) Polysulfone 0.57 −0.25 at 40 °C/min (70 °F/min) −0.52 at 10 °C/min (18 °F/min) Differential scanning calorimetry comparison of <italic>T</italic><sub>g</sub> results from sealed and unsealed pans Table 4 Differential scanning calorimetry comparison...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2002
DOI: 10.31399/asm.tb.mgppis.t60400109
EISBN: 978-1-62708-258-7
... Differential Interference Contrast (Nomarski) Interference Illumination The purpose of the illuminator is to direct the light beam 90° down the microscope tube to the back lens of the objective. A schematic representation of the illuminator is shown in Fig. 5.37 , where the light from the light source...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 1988
DOI: 10.31399/asm.tb.eihdca.t65220085
EISBN: 978-1-62708-341-6
... Progress , Vol 94, No. 1, July, 1968, p 78 ( Ref 14 ) Fig. 6.7 Schematic illustration of the surface and center temperature histories of a bar heated by induction. Note that, following an initial transient, the surface-to-center temperature differential is constant during the heating cycle. After...