Knovel Interactive Equations

  • Richard Abbott Co-Owner, Abbott Aerospace SEZC Ltd.

    Richard graduated with a Bachelors in Mechanical Engineering in 1992 and has worked with clients in the UK, Europe and North America on many civil and military aircraft development, modification and weight optimization programs.

    Richard founded Abbott Aerospace in 2008. The company is now located in Grand Cayman with a Canadian project office and serves the global aircraft development industry. Abbott Aerospace specializes in implementing proven analytical solutions based on a full understanding of acceptable methods and the certification regulations. Richard Abbott has held the SME (Subject Matter Expert) position on 4 different North American composite aircraft programs.

  • Anveshak LLC

    Anveshak is an engineering and Intellectual Property service provider based in Chandler, AZ with a development center in Pune, India. Anveshak provides engineering solutions to its customers in the semiconductor, automotive and energy sectors. With a focus on semiconductor, electronics, solar, automotive, and medical devices Anveshak engineers and scientists work with companies in the US and Europe providing services in finite element analysis, computational fluid dynamics, and design for reliability. Anveshak’s CEO, Dr. Sandeep Tonapi, can be reached at 480-518-7393 (USA) or 91-20-24349691 (India) or by email

  • Bryan R. Becker Ph.D., P.E., F.ASME, F.ASHRAE Professor of Mechanical Engineering at the University of Missouri-Kansas City

    During his more than 25 years at the University of Missouri, Dr. Becker has conducted, as principal investigator or co-investigator, 50 research projects and has authored 208 journal articles, chapters in books, presentations, and research reports. He has directed the graduate research of 31 master of science students and seven doctoral students. He is a fellow of the American Society of Mechanical Engineers (ASME) and the American Society of Heating, Refrigerating and Air-Conditioning Engineers (ASHRAE).

    Previously, Dr. Becker served as chair of mechanical engineering and then civil and mechanical engineering for seven years. Prior to joining the University of Missouri, Dr. Becker performed thermal hydraulic analysis at the Oak Ridge National Laboratory. Dr. Becker's research and scholarly activity has centered around heat transfer, fluid flow, refrigeration and energy systems. He holds a B.S. in Mechanical Engineering from the University of Missouri, Rolla (1971); a M.S. in Applied Mathematics from the University of Missouri, Columbia (1975), and a Ph.D from the University of Tennessee, Knoxville (1979).

  • Vadim F. Lvovich Branch Chief, Electrochemistry Branch at NASA Glenn Research Center, Cleveland, OH; President, Electrochemical Sciences Consulting

    Vadim F. Lvovich received his M. S. degree in Chemical Engineering from Moscow University of Chemical Technology in 1992 and his Ph.D. degree in Analytical Chemistry / Chemical Engineering from the University of Illinois at Urbana-Champaign in 1997. His industrial and academic career has encompassed a number of senior innovative technology and product development positions in leading R&D divisions of Specialty Chemicals (Lubrizol Corporation), Sensors Engineering (Makel Engineering), Electronics and Aerospace (Crane Aerospace and Electronics) industrial corporations; and faculty positions in top level BioMedical and Clinical Research Centers (The Cleveland Clinic Lerner Research Institute). Dr. Lvovich is currently Electrochemistry Branch Chief at NASA Glenn Research Center (Cleveland, OH). Dr. Lvovich also has Adjunct Associate Professor appointments at Case Western Reserve University and Adjunct Staff appointment at the Cleveland Clinic Lerner Research Institute.

    Dr. Lvovich is an active member of the Sensors and MicroSystems Division of the Electrochemical Society, and Analytical and Physical Electrochemistry Divisions of the International Society of Electrochemistry. He currently serves as the International Society of Electrochemistry USA Regional Representative (2012-2014). He is a founder and a lead organizer of the annual Session on Impedance Sensors and Diagnostics at the Electrochemical Society. Dr Lvovich is internationally renowned expert in the theory and practice of electrochemical impedance spectroscopy. Dr. Lvovich published a monograph on applied principles of electrochemical impedance spectroscopy (John Wiley & Sons, 2012). He holds 9 US and International patents; edited and authored over 40 books, review chapters, and research publications on electrochemical impedance applications in traditional and alternative energy sources, characterization of advanced materials, on-board diagnostics of industrial fluids, biomedical sensors, drug delivery systems, and innovative development of several industrial high technology products.

  • Valery F. Ochkov Ph.D., Sc. D., is a Professor at the Department of Thermal Power Engineering of the National Research University "Moscow Power Engineering Institute"

    Valery F. Ochkov teaches courses at the "Moscow Power Engineering Institute" on information technology and optimization of power generation processes. Prof. Ochkov is also a founder and general manager of Trieru, an engineering consulting firm that develops simulators and analytical software for the power industry. He is a member of the working group on thermodynamics of the International Association for the Properties of Water and Steam (IAPWS).

    He is an author of more than 20 books and numerous journal articles on the use of math software for solving the problems in thermodynamics, heat and mass transfer and fluid dynamics. Prof. Ochkov is one of the creators of WaterSteamPro™, an application for simulating thermophysical properties of water and steam. For more information about Prof. Ochkov, please see //

  • Sarah Outzen M.S., Project Engineer at PB&A, Inc.

    Sarah Outzen received her Bachelor's Degree from Cornell University and Master of Science in Structural Engineering at San Francisco State University. Her graduate work on the application of recycled polystyrene aggregate in structural concrete was published in the Advanced Materials Research Journal and presented at the accompanying conference. During her undergraduate and graduate studies, Sarah was the recipient of various awards and scholarships, including the Concrete Masonry Association of California and Nevada Engineering Scholarship, the Robert H. Maxwell Memorial Scholarship, and the John Stenner Collegiate Cycling Scholarship.

    At PB&A, which specializes in geo-structures and earth retention systems, Sarah focuses on substructure design and shoring wall systems. Designing complicated excavations and related temporary support structures, Sarah has contributed to many prestigious projects including railway extensions and new stations for the Los Angeles Metro, shoring support at San Francisco's Transbay Terminal, and was the lead engineer for various projects at the new Apple headquarters.

    In addition to her work at PB&A, Sarah has expertise in 3D modeling for structural applications, technical writing, and full construction document and calculation package preparation for structural projects. She has also been involved in a leadership role in various industry charity events including CANstruction which donates food to the hungry, and the LEAP Sandcastle Competition supporting education in the arts.

  • Tyler Paxman E.I.T., Junior Corrosion Engineer, Broadsword Corrosion Engineering Ltd.

    Tyler Paxman is a graduate of the University of Calgary where he received a BSc in mechanical engineering and a is member of NACE International. He has contributed to a variety of projects for Broadsword clients from the Oil & Gas industry. His main area of involvement has been internal corrosion modelling of pipelines to determine corrosion rates, as well as analyzing risk of failure and consequence within various pipeline systems.

    From 2011 to 2012, he worked as a research intern for ABB Switzerland Ltd. where he performed CFD simulations for power devices such as circuit breakers and transformers, as well as contributed to the scripting and automation of computer modelling processes.

  • Nima Tajallipour Ph.D., P.Eng., Technical Business Development & Senior Research Corrosion Engineer, Broadsword Corrosion Engineering Ltd., NACE International Senior Internal Corrosion Technologist (#31487)

    Mr. Nima Tajallipour holds a Ph.D. degree in mechanical engineering from Concordia University. He is a registered professional engineer in Alberta (#144715) and Quebec (#147045) and is a certified NACE International Senior Internal Corrosion Technologist (#31487) and Cathodic Protection Tester (#31487).

    He has worked as the project manager and principal engineer in several direct assessment (DA) projects, pipelines corrosion audits and corrosion integrity studies in North America (Canada and the USA) and abroad (Kuwait, India, Brazil, Australia) and has in-depth knowledge and experience about the internal and external corrosion issues of gathering, transmission and distribution pipeline systems.

    His main field of work is corrosion modeling, numerical simulation of single phase and multiphase turbulent flows and solids deposition. He is an active member of NACE and AIAA and his publications have been focused on corrosion modeling, internal corrosion threat susceptibility assessment for large pipeline networks, solids deposition predictions and large eddy simulation of compressible and incompressible turbulent flows. He has been awarded several awards and scholarships including the Alberta Innovate industry internship award in 2009.

  • Patrick J. Teevens CD, P.Eng., MCIC, President of Broadsword Corrosion Engineering Ltd., NACE International Corrosion Specialist, Internal Corrosion Specialist and Cathodic Protection Specialist (#2842)

    Pat has over 36 year’s petroleum experience in the fields of chemistry, chemical engineering unit operations, and corrosion engineering. His vast experience and international exposure, both technically and professionally through his career and participation in NACE International, has catapulted him into cutting edge technologies.

    Pat is a recognized authority on corrosion engineering problems and more importantly, how to solve them. He is particularly well known for his ground-breaking developments of field-based remote real-time corrosion rate monitoring with electrochemical noise. Pat is also an API-510 and Alberta, ABSA Certified In-Service Pressure Vessel Inspector and has extensive experience as a chief inspector for several major oil companies. Pat is a member of NACE International, and has been or is currently Chair/Vice Chair of several technical committees. He is a recipient of the NACE International, Northern Area (Canada and Alaska) 2001 Outstanding Service Award and in 1999 was a joint recipient of the UK Millennium Products Award presented by Prime Minister Tony Blair on December 14, 1999 in London, England to Integrity Solutions (now Intercorr International).

  • Gilberto E. Urroz Ph.D., P.E., M. ASCE, Associate Professor of Civil and Environmental Engineering and the Utah Water Research Laboratory — Logan, Utah

    Dr. Urroz has more than 25 years of experience in teaching and research. He has taught courses on Statics, Dynamics, Numerical Methods, Probability and Statistics for Engineers, Fluid Mechanics, Hydraulics, Computer Programming, Hydraulic Structures, and Water Resources Systems. He is the author of books on Numerical and Statistical Methods with SCILAB, Science and Engineering Mathematics with Maple, Science and Engineering Mathematics with MAXIMA, and the author of the User's Manual and the User's Guide for the hp 49G+ graphic calculator (2003).

    His research interests include hydraulic structures, soil erosion, river hydraulics, numerical hydraulic modeling, and engineering education. Dr. Urroz holds a B.S. degree in Civil Engineering from Nicaragua's National University (1980), and M.S. (1982) and Ph.D (1988) degrees in Civil and Environmental Engineering from The University of Iowa. He currently serves as the Head of the Water Engineering Division within the Department of Civil and Environmental Engineering at Utah State University. Dr. Urroz is a lifetime member of the Society of Hispanic Professional Engineers. He also has served in professional committees within the American Society of Civil Engineers, the International Erosion Control Association, and the Soil and Water Conservation Society.

  • Shuze Zhao PhD Candidate in the Energy Systems Group, The Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto

    Shuze Zhao is a member of the Energy Systems Group, one of eight research groups in the Department of Electrical and Computer Engineering, at the University of Toronto. It is home of the Centre for Applied Power Electronics (CAPE). The Energy Systems Group is associated with the application of power electronic technology and the management of electrical energy. It encompasses high current low voltage power supplies to power the next generation microprocessors through to the high voltage inverters needed for enhancing stability and improving efficiency in modern power systems. Power electronics is also an integral component in the development of alternative energy sources, such as fuel cells and solar cells, where energy management and conditioning issues are studied in order to maximize the efficiency and utilization of these energy sources. Research into automotive applications of power electronics is also carried out and includes the development of high power, light weight converters for electric and hybrid vehicles as well as digital control of electric motors.