Engineering & Science calculators
Choose a task below. Check each calculator’s assumptions and units before using its result.
TBM Penetration Rate & Advance Calculator
Calculate Tunnel Boring Machine (TBM) penetration per revolution, instantaneous penetration rate (ROP), cutterhead torque, and daily tunneling advance.
TEG Dehydration Sizing Calculator - Glycol Contactor Rate
Size triethylene glycol (TEG) absorption contactor columns, calculate required glycol circulation rates (GPM & gal/lb H2O), reboiler thermal duty, and water dewpoint depression per GPSA Section 20.
TEG Dehydration Water Dew Point Calculator
Determine natural gas inlet water saturation, required TEG circulation rate, equilibrium water dew point depression, and regeneration reboiler heat duty.
Terzaghi 1D Consolidation Calculator
Geotechnical foundation mechanics: Calculate ultimate 1D consolidation settlement (S_c), degree of consolidation (U_v), and settlement time dissipation (t_50, t_90).
TFF Ultrafiltration Diafiltration Calculator
Bioprocess Downstream Purification: Calculate transmembrane pressure (TMP), concentration factor (VCF), gel polarization flux, diafiltration buffer volume, and process time.
Thermal Death Time D-Value & z-Value Calculator
Determine microbial inactivation rates, decimal reduction time ($D$-value), thermal resistance constant ($z$-value), and target spore survival probabilities.
Thermal Oxidizer DRE & Residence Time Calculator
Determine volatile organic compound (VOC) Destruction & Removal Efficiency ($DRE$), chamber residence time ($ au$), and supplemental fuel gas consumption.
Thermal Oxidizer VOC Destruction Calculator
EPA compliance thermal design: Calculate VOC destruction efficiency (DRE), combustion chamber residence time (\(\tau\)), auxiliary burner fuel demand, and flue gas flow.
Thermal Relief Valve Calculator - API 520 Sizing Flow
Calculate trapped liquid volumetric expansion flow rate and required relief valve orifice area (API 526 letters D to T) for solar radiation and steam-traced pipelines per API 520 and 521.
Thermal Runaway Calculator - Adiabatic Time to Max Rate
Calculate batch reactor adiabatic temperature rise (ΔTad), time to maximum rate under adiabatic conditions (TMRad), and thermal safety margins.
Thermal Transpiration Effusion Calculator
Rarefied gas dynamics: Calculate the thermomolecular pressure ratio ($P_1/P_2 = \sqrt{T_1/T_2}$) between vacuum chambers and gauge ports across molecular, transition, and continuum regimes.
Thermoelectric Generator TEG Power Calculator
Energy Harvesting & Waste Heat Recovery: Model Seebeck open-circuit voltage ($V_{oc}$), maximum matched electrical power output ($P_{max}$), and thermal conversion efficiency.
Thermoelectric ZT Figure of Merit Calculator
Thermoelectric Materials Science: Evaluate dimensionless figure of merit ($ZT$), Seebeck power factor ($S^2\sigma$), and Wiedemann-Franz electronic thermal conductivity.
Thermosiphon Reboiler Calculator - Driving Head Flow
Calculate natural circulation driving head, two-phase riser mixture density, frictional pressure loss, and liquid recirculation ratio in vertical thermosiphon reboilers.
Thermosiphon Reboiler Driving Head Calculator - Circulation
Calculate natural circulation driving head, vapor-liquid two-phase froth density, circulation ratio, and reboiler circuit pressure balance.
Thickener Sedimentation Area Calculator
Calculate gravity thickener surface area ($A$), unit area ($UA$), underflow solids concentration, and surface overflow rate (SOR) via Talmage-Fitch.
Thickener Settling Area Calculator - Talmage Fitch Sizing
Determine industrial thickener settling area, tank diameter, clarification vs thickening limits, and solids flux loading per the Talmage & Fitch method.
Thoma Surge Tank Area Stability Calculator
Hydroelectric Hydraulic Transients: Determine critical Thoma cross-sectional area, governor stability margin, oscillation period, and maximum upsurge.
Three-Element Windkessel Model Calculator
Arterial Lumped-Parameter Hemodynamics: Model aortic input impedance, diastolic decay time constant, and arterial compliance ($C$) from cardiac output.
Through-Silicon Via TSV Delay Calculator
3D IC & Heterogeneous Packaging: Determine electrical resistance ($R$), liner/depletion capacitance ($C$), RC propagation delay ($\tau_{50}$), and cutoff frequency for copper Through-Silicon Vias.
Tilting Pad Thrust Bearing Calculator - Oil Film Sizing
Determine hydrodynamic oil film thickness (hmin), maximum unit pressure, and pivot load capacity for axial tilting pad thrust bearings.
Tisserand Parameter Flyby Invariant Calculator
Celestial Mechanics & Mission Planning: Evaluate the Tisserand invariant ($T_p$) for gravitational encounters to map achievable post-flyby perihelia, aphelia, and inclination limits.
Titanium Diffusion Bonding Calculator
Aerospace Manufacturing: Predict interfacial void closure, minimum contact pressure, hold time, and shear joint efficiency for solid-state diffusion bonding.
TNO Multi-Energy Vapor Cloud Explosion Calculator
Industrial explosion safety & quantitative risk assessment (QRA): Model Vapor Cloud Explosions (VCE) using the TNO Multi-Energy blast method, calculating peak side-on overpressure ($\Delta P_s$) and blast impulse ($i_s$).
Tokamak Bootstrap Current Fraction Calculator
Neoclassical transport & steady-state fusion: Compute the self-generated bootstrap current fraction ($f_{bs} = I_{bs} / I_p$), trapped electron banana fraction ($f_t$), and poloidal beta ($\beta_p$).
Tokamak Bootstrap Current Fraction Calculator
Neoclassical Magnetohydrodynamics: Calculate self-generated neoclassical bootstrap current ($I_{bs}$), bootstrap fraction ($f_{bs}$), and non-inductive steady-state sustainment.
Tokamak Safety Factor q95 MHD Calculator
Magnetohydrodynamic (MHD) plasma stability: Calculate the magnetic safety factor at the 95% flux surface ($q_{95}$), elongation ($\kappa$), triangularity ($\delta$), and Troyon beta limits ($\beta_N$).
Tokamak Shafranov Shift Equilibrium Calculator
Grad-Shafranov MHD Equilibrium: Compute high-beta outward magnetic axis displacement ($\Delta$), flux surface compression, and Shafranov parameter ($\Lambda = \beta_p + l_i/2 - 1$).
TOV Neutron Star Maximum Mass Calculator
General relativistic astrophysics: Calculate relativistic hydrostatic equilibrium, the Tolman-Oppenheimer-Volkoff (TOV) maximum mass limit ($M_{\text{TOV}} \approx 2.1 M_\odot$), gravitational redshift ($z$), and Buchdahl compactness limit.
Trabecular Bone Elastic Modulus Calculator
Orthopedic Biomechanics: Predict cancellous bone elastic modulus ($E$), compressive strength ($\sigma_y$), and implant stress-shielding index.
Trailer Tongue Weight Calculator - Tow Payload & Balance
Calculate legal payload limits, hitch tongue weight percentage (10-15%), and trailer axle load distribution to prevent dangerous fishtailing.
Train Braking Distance Calculator - UIC 544-1 Deceleration
Calculate train emergency stopping distance, brake propagation time lag, deceleration rate, grade corrections, and signal block overlap per UIC 544-1 & AREMA.
Train Resistance Davis Calculator - Tractive Effort Sizing
Calculate total train motion resistance via the modified Davis equation, grade and curve penalties, available wheel-rail tractive effort, and ruling grade performance.
Train Resistance Davis Equation Calculator
Determine mechanical rolling resistance, aerodynamic head and skin drag, grade climbing forces, and curve resistance to calculate locomotive tractive power.
Transcritical CO2 Ejector Lift Calculator
Refrigeration Efficiency: Calculate two-phase ejector expansion work recovery, suction pressure lift ($Delta P_{lift}$), entrainment ratio ($omega$), and compressor energy savings.
Transcritical CO2 Heat Pump Water Calculator
High-Temperature Heat Pump Engineering: Model non-isothermal supercritical gas cooler temperature glide matching, Lorenz thermodynamic COP, and domestic hot water savings.
Transcritical CO2 IHX Cycle COP Calculator
Thermodynamic Cycle Optimization: Calculate the impact of Internal Heat Exchangers (IHX) on transcritical R744 refrigeration effect, COP gain, and compressor discharge temperature.
Transcritical CO2 Optimal Pressure Calculator
Industrial & Commercial Refrigeration: Determine optimum gas cooler high-side pressure ($P_{opt}$) for transcritical R744 cycles to maximize coefficient of performance (COP).
Transcritical CO2 Parallel Compressor Calculator
Supermarket Refrigeration Systems: Model flash gas generation in the intermediate receiver, parallel compressor power savings, and annual energy reduction over bypass throttling.
Transition Radiation Detector X-Ray Calculator
High-energy experimental particle physics: Model Transition Radiation (TR) generated across dielectric foil interfaces, calculating plasma frequency ($\omega_p$), formation zone length ($Z$), and X-ray photon yield.
Transmission Line Sag Tension Calculator
Calculate conductor sag, horizontal tension, ice and wind environmental loading (NESC), and support peak loads for overhead power lines.
Transmon Qubit Josephson Energy Calculator
Superconducting quantum information: Calculate transmon qubit charging energy ($E_C$), Josephson coupling energy ($E_J$), ratio ($E_J / E_C$), $0 \to 1$ transition frequency ($f_{01}$), and negative anharmonicity ($\alpha$).
Trapezoidal Velocity Motion Profile Calculator
Industrial robotics & motion control: Calculate 1D/3D trapezoidal velocity profile kinematics, acceleration duration, constant-velocity cruise time, and total motion cycle time.
TTR Tensioner Stroke Stiffness Calculator
Floating Offshore Platforms: Determine dynamic stroke excursion, hydro-pneumatic accumulator polytropic stiffness, and minimum tension margins for Top-Tensioned Risers.
Tube Mid-Span Deflection Calculator - TEMA Baffle Spacing
Determine static beam deflection (δ) and dynamic vibration amplitude to ensure mid-span tube-to-tube collision clearance per TEMA Section 5 (VBR).
Tube Natural Frequency Calculator - TEMA Baffle Span Sizing
Determine fundamental natural frequency (fn) of heat exchanger tubes accounting for tube metal, inside fluid, and hydrodynamic virtual added mass.
Tubing Movement Calculator - Lubinski Thermal & Buckling
Determine length changes and seal assembly movement from thermal expansion, internal/external pressure ballooning, piston effect, and helical buckling.
Tunnel Fire Critical Velocity Calculator
Determine the minimum longitudinal airflow velocity ($v_c$) to prevent upstream smoke backlayering during tunnel emergencies per NFPA 502 and the Kennedy / Oka-Atkinson equations.