Perturbation Solutions for Variable Energy Blast Waves
The trajectory of and the flow field behind blast waves with time varying energy input is determined. Freeman's Lagrangean coordinate formulation is modified to include both the geometric factor, alpha, for plane, cylindrical and spherical shocks and also non-integer values of beta, the energy...
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| description | The trajectory of and the flow field behind blast waves with time varying energy input is determined. Freeman's Lagrangean coordinate formulation is modified to include both the geometric factor, alpha, for plane, cylindrical and spherical shocks and also non-integer values of beta, the energy input parameter, in a single computational algorithm. Numerical problems associated with vanishing density at the fictitious piston face are then examined and solved. Second order perturbation solutions about the infinite strength shock are then obtained in Sakurai's inverse shock Mach number expansion parameter for 0 or = beta alpha + 1. Tables and graphs of significant numerical coefficients are presented for comparison to and extension of results of other authors. Graphs of typical shock trajectories and flow field density, pressure and velocity variations are also presented and discussed. (Author) |
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Freeman's Lagrangean coordinate formulation is modified to include both the geometric factor, alpha, for plane, cylindrical and spherical shocks and also non-integer values of beta, the energy input parameter, in a single computational algorithm. Numerical problems associated with vanishing density at the fictitious piston face are then examined and solved. Second order perturbation solutions about the infinite strength shock are then obtained in Sakurai's inverse shock Mach number expansion parameter for 0 or = beta alpha + 1. Tables and graphs of significant numerical coefficients are presented for comparison to and extension of results of other authors. Graphs of typical shock trajectories and flow field density, pressure and velocity variations are also presented and discussed. (Author)</description><language>eng</language><subject>BLAST LOADS ; BLAST WAVES ; COMPUTER PROGRAMS ; ENERGY ; FLOW FIELDS ; Fluid Mechanics ; GRAPHS ; MACH NUMBER ; PERTURBATIONS ; PRESSURE GRADIENTS ; RUNGE KUTTA METHOD ; SHOCK WAVES ; TABLES(DATA) ; TRAJECTORIES ; VARIATIONS ; VELOCITY</subject><creationdate>1976</creationdate><rights>APPROVED FOR PUBLIC RELEASE</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,776,881,27544,27545</link.rule.ids><linktorsrc>$$Uhttps://apps.dtic.mil/sti/citations/ADA051852$$EView_record_in_DTIC$$FView_record_in_$$GDTIC$$Hfree_for_read</linktorsrc></links><search><creatorcontrib>Pitkin,Edward T</creatorcontrib><creatorcontrib>CONNECTICUT UNIV STORRS DEPT OF MECHANICAL ENGINEERING</creatorcontrib><title>Perturbation Solutions for Variable Energy Blast Waves</title><description>The trajectory of and the flow field behind blast waves with time varying energy input is determined. Freeman's Lagrangean coordinate formulation is modified to include both the geometric factor, alpha, for plane, cylindrical and spherical shocks and also non-integer values of beta, the energy input parameter, in a single computational algorithm. Numerical problems associated with vanishing density at the fictitious piston face are then examined and solved. Second order perturbation solutions about the infinite strength shock are then obtained in Sakurai's inverse shock Mach number expansion parameter for 0 or = beta alpha + 1. Tables and graphs of significant numerical coefficients are presented for comparison to and extension of results of other authors. Graphs of typical shock trajectories and flow field density, pressure and velocity variations are also presented and discussed. (Author)</description><subject>BLAST LOADS</subject><subject>BLAST WAVES</subject><subject>COMPUTER PROGRAMS</subject><subject>ENERGY</subject><subject>FLOW FIELDS</subject><subject>Fluid Mechanics</subject><subject>GRAPHS</subject><subject>MACH NUMBER</subject><subject>PERTURBATIONS</subject><subject>PRESSURE GRADIENTS</subject><subject>RUNGE KUTTA METHOD</subject><subject>SHOCK WAVES</subject><subject>TABLES(DATA)</subject><subject>TRAJECTORIES</subject><subject>VARIATIONS</subject><subject>VELOCITY</subject><fulltext>true</fulltext><rsrctype>report</rsrctype><creationdate>1976</creationdate><recordtype>report</recordtype><sourceid>1RU</sourceid><recordid>eNrjZDALSC0qKS1KSizJzM9TCM7PKQUxihXS8osUwhKLMhOTclIVXPNSi9IrFZxyEotLFMITy1KLeRhY0xJzilN5oTQ3g4yba4izh25KSWZyfHFJZl5qSbyji6OBqaGFqZExAWkA4v0qpQ</recordid><startdate>197608</startdate><enddate>197608</enddate><creator>Pitkin,Edward T</creator><scope>1RU</scope><scope>BHM</scope></search><sort><creationdate>197608</creationdate><title>Perturbation Solutions for Variable Energy Blast Waves</title><author>Pitkin,Edward T</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-dtic_stinet_ADA0518523</frbrgroupid><rsrctype>reports</rsrctype><prefilter>reports</prefilter><language>eng</language><creationdate>1976</creationdate><topic>BLAST LOADS</topic><topic>BLAST WAVES</topic><topic>COMPUTER PROGRAMS</topic><topic>ENERGY</topic><topic>FLOW FIELDS</topic><topic>Fluid Mechanics</topic><topic>GRAPHS</topic><topic>MACH NUMBER</topic><topic>PERTURBATIONS</topic><topic>PRESSURE GRADIENTS</topic><topic>RUNGE KUTTA METHOD</topic><topic>SHOCK WAVES</topic><topic>TABLES(DATA)</topic><topic>TRAJECTORIES</topic><topic>VARIATIONS</topic><topic>VELOCITY</topic><toplevel>online_resources</toplevel><creatorcontrib>Pitkin,Edward T</creatorcontrib><creatorcontrib>CONNECTICUT UNIV STORRS DEPT OF MECHANICAL ENGINEERING</creatorcontrib><collection>DTIC Technical Reports</collection><collection>DTIC STINET</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Pitkin,Edward T</au><aucorp>CONNECTICUT UNIV STORRS DEPT OF MECHANICAL ENGINEERING</aucorp><format>book</format><genre>unknown</genre><ristype>RPRT</ristype><btitle>Perturbation Solutions for Variable Energy Blast Waves</btitle><date>1976-08</date><risdate>1976</risdate><abstract>The trajectory of and the flow field behind blast waves with time varying energy input is determined. Freeman's Lagrangean coordinate formulation is modified to include both the geometric factor, alpha, for plane, cylindrical and spherical shocks and also non-integer values of beta, the energy input parameter, in a single computational algorithm. Numerical problems associated with vanishing density at the fictitious piston face are then examined and solved. Second order perturbation solutions about the infinite strength shock are then obtained in Sakurai's inverse shock Mach number expansion parameter for 0 or = beta alpha + 1. Tables and graphs of significant numerical coefficients are presented for comparison to and extension of results of other authors. Graphs of typical shock trajectories and flow field density, pressure and velocity variations are also presented and discussed. (Author)</abstract><oa>free_for_read</oa></addata></record> |
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| subjects | BLAST LOADS BLAST WAVES COMPUTER PROGRAMS ENERGY FLOW FIELDS Fluid Mechanics GRAPHS MACH NUMBER PERTURBATIONS PRESSURE GRADIENTS RUNGE KUTTA METHOD SHOCK WAVES TABLES(DATA) TRAJECTORIES VARIATIONS VELOCITY |
| title | Perturbation Solutions for Variable Energy Blast Waves |
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